Percentage Multipliers

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Percentage Multipliers

To convert a decimal into a percentage, you multiply the decimal by 100
To convert a percentage into a decimal, you divide the percentage by 100 x 100 ÷ 100 0.3 30% 40% 0.4 x 100 ÷ 100 0.45 45% 6% 0.06 x 100 ÷ 100 0.05 5% 200% 2 x 100 ÷ 100 1.5 150% 800% 8 x 100 ÷ 100 4 400% 17.5% 0.175 x 100 ÷ 100 0.318 31.8% 34.9% 0.349 © T Madas

We can use multipliers in calculations:
The decimal form of a percentage is also known as the percentage multiplier. We can use multipliers in calculations: To convert a decimal into a percentage, you multiply the decimal by 100 To convert a percentage into a decimal, you divide the percentage by 100 25% = 13% 72.5% = 13.2% 6.6% = 220% 0.5% = 0.25 = 0.13 0.725 = 0.132 0.066 = 2.2 0.005 Find 25% of 456 0.25 x 456 = 114 Find 37% of 514 0.37 x 514 = Find 6% of 348 0.06 x 348 = 20.88 © T Madas

We can use multipliers in calculations:
The decimal form of a percentage is also known as the percentage multiplier. We can use multipliers in calculations: 25% = 13% 72.5% = 13.2% 6.6% = 220% 0.5% = 0.25 = 0.13 0.725 = 0.132 0.066 = 2.2 0.005 Find 7.5% of 124 0.075 x 124 = 9.3 Find 200% of 356 2 x 356 = 712 © T Madas

Practice on using Percentage Multipliers
Calculate the following percentages by using multipliers: 35% of 124: 43% of 220: 74% of 350: 13% of 270: 29% of 260: 65% of 480: 5% of 185: 7% of 631: 7.5% of 440: 5.5% of 820: 0.35 0.43 0.74 0.13 0.29 0.65 0.05 0.07 0.075 0.055 x 124 = x 220 = x 350 = x 270 = x 260 = x 480 = x 185 = x 631 = x 440 = x 820 = 43.4 94.6 259 35.1 75.4 312 9.25 44.17 33 45.1 © T Madas

Practice on using Percentage Multipliers
Calculate the following percentages by using multipliers: 65% of 144: 13% of 320: 54% of 360: 81% of 670: 8% of 250: 4.5% of 560: 17.5% of 820: 7.3% of 1450: 11.5% of 444: 0.5% of 910: 0.65 0.13 0.54 0.81 0.08 0.045 0.175 0.073 0.115 0.005 x 144 = x 320 = x 360 = x 670 = x 250 = x 560 = x 820 = x 1450 = x 444 = x 910 = 93.6 41.6 194.4 542.7 20 25.2 143.5 105.85 51.06 4.55 © T Madas

Practice on using Percentage Multipliers
Find 12% of 140 16.8 Find 34% of 185 62.9 Find 22% of 387 85.14 Find 17.5% of 240 42 Find 35% of 96.4 33.74 Find 8.5% of 384 32.64 Find 72% of 855 615.6 Find 27.5% of 120 33 Find 41% of 390 159.9 Find 7.2% of 855 61.56 Find 26% of 307 79.82 Find 16.4% of 365 59.86 Find 9% of 110 9.9 Find 1.7% of 300 5.1 Find 12.5% of 68 8.5 Find 0.5% of 110 9.9 © T Madas

Practice on using Percentage Multipliers
Find 14% of 160 22.4 Find 35% of 284 99.4 Find 24% of 749 179.76 Find 17.5% of 320 56 Find 45% of 146.4 65.88 Find 8.5% of 384 10.71 Find 32% of 855 273.6 Find 27.5% of 360 99 Find 11% of 930 102.3 Find 8.2% of 900 73.8 Find 36% of 385 138.6 Find 18.4% of 565 103.96 Find 7% of 220 15.4 Find 0.5% of 360 1.8 Find 12.5% of 88 11 Find 0.25% of 400 1 © T Madas

Practice on using Percentage Multipliers
Calculate the following percentages by using multipliers: 35% of 124: 43% of 220: 74% of 350: 13% of 270: 29% of 260: 65% of 480: 5% of 185: 7% of 631: 7.5% of 440: 5.5% of 820: 0.35 0.43 0.74 0.13 0.29 0.65 0.05 0.07 0.075 0.055 x 124 = x 220 = x 350 = x 270 = x 260 = x 480 = x 185 = x 631 = x 440 = x 820 = 43.4 94.6 259 35.1 75.4 312 9.25 44.17 33 45.1 © T Madas

Practice on using Percentage Multipliers
Calculate the following percentages by using multipliers: 65% of 144: 13% of 320: 54% of 360: 81% of 670: 8% of 250: 4.5% of 560: 17.5% of 820: 7.3% of 1450: 11.5% of 444: 0.5% of 910: 0.65 0.13 0.54 0.81 0.08 0.045 0.175 0.073 0.115 0.005 x 144 = x 320 = x 360 = x 670 = x 250 = x 560 = x 820 = x 1450 = x 444 = x 910 = 93.6 41.6 194.4 542.7 20 25.2 143.5 105.85 51.06 4.55 © T Madas

Practice on using Percentage Multipliers
Find 12% of 140 16.8 Find 34% of 185 62.9 Find 22% of 387 85.14 Find 17.5% of 240 42 Find 35% of 96.4 33.74 Find 8.5% of 384 32.64 Find 72% of 855 615.6 Find 27.5% of 120 33 Find 41% of 390 159.9 Find 7.2% of 855 61.56 Find 26% of 307 79.82 Find 16.4% of 365 59.86 Find 9% of 110 9.9 Find 1.7% of 300 5.1 Find 12.5% of 68 8.5 Find 0.5% of 110 9.9 © T Madas

Practice on using Percentage Multipliers
Find 14% of 160 22.4 Find 35% of 284 99.4 Find 24% of 749 179.76 Find 17.5% of 320 56 Find 45% of 146.4 65.88 Find 8.5% of 384 10.71 Find 32% of 855 273.6 Find 27.5% of 360 99 Find 11% of 930 102.3 Find 8.2% of 900 73.8 Find 36% of 385 138.6 Find 18.4% of 565 103.96 Find 7% of 220 15.4 Find 0.5% of 360 1.8 Find 12.5% of 88 11 Find 0.25% of 400 1 © T Madas

Percentage Multipliers

To convert any type of number into a percentage you multiply the number by 100
FACT 0.38 x 100 = 38% 0.213 x 100 = 21.3% 1.63 x 100 = 163% 2 x 100 = 200% 4/7 x 100 = 400/7 ≈ 57.14% x 100 = 300/4 = 75% © T Madas

When you multiply a number by 1
When you multiply a number by 1.1 you increase the number by ______of your starting number 0.1 When you multiply a number by 0.9 you decrease the number by ______of your starting number 0.1 © T Madas

When you multiply a number by 1
When you multiply a number by 1.2 you increase the number by ______of your starting number 0.2 When you multiply a number by 0.8 you decrease the number by ______of your starting number 0.2 © T Madas

We extend this idea to percentages
When you multiply a number by 1.15 you increase the number by ______of your starting number 0.15 When you multiply a number by 0.85 you decrease the number by ______of your starting number 0.15 We extend this idea to percentages © T Madas

Examples on using Percentage Multipliers
Increase 5000 by 10% Increase 4500 by 15% Increase 1200 by 27% Decrease 750 by 20% Decrease 1200 by 14% Decrease by 32% Increase 2000 by 17.5% Decrease by 5.5% 5000 x 1.1 4500 x 1.15 1200 x 1.27 750 x 0.80 1200 x 0.86 12500 x 0.68 2000 x 1.175 17000 x 0.945 © T Madas

Using Multipliers for Percentage Changes
If an amount is increased by x % the new amount is (100 + x )% of the original amount Increase 9000 by 15% 9000 x 1.15 = 10350 100% + 15% = 115% 115% = 1.15 If an amount is decreased by x % the new amount is (100 – x )% of the original amount Decrease 4500 by 12% 4500 x 0.88 = 7920 100% – 12% = 88% 88% = 0.88 © T Madas

Calculating Percentage increases & decreases using multipliers

Percentage Changes using Multipliers
Calculate the following percentages by using multipliers: Increase 220 by 15%: Decrease 230 by 15%: Increase 125 by 12%: Decrease 180 by 9%: Increase 320 by 22% : Decrease 155 by 18%: Increase 275 by 24%: Decrease 725 by 25%: Increase 520 by 35%: Decrease 900 by 16%: 220 230 125 180 320 155 275 725 520 900 x 1.15 = x 0.85 = x 1.12 = x 0.91 = x 1.22 = x 0.82 = x 1.24 = x 0.75 = x 1.35 = x 0.84 = 253 195.5 140 163.8 390.4 127.1 341 543.75 702 756 © T Madas

Percentage Changes using Multipliers
Calculate the following percentages by using multipliers: Increase 260 by 15%: Decrease 450 by 12%: Increase 225 by 16%: Decrease 184 by 5%: Increase 780 by 7% : Decrease 265 by 18%: Increase 430 by 8%: Decrease 870 by 6%: Increase 520 by 17.5%: Decrease 900 by 5.5%: 260 450 225 184 780 265 430 870 520 900 x 1.15 = x 0.88 = x 1.16 = x 0.95 = x 1.07 = x 0.82 = x 1.08 = x 0.94 = x = x = 299 396 261 174.8 834.6 217.3 464.4 817.8 611 850.5 © T Madas

Percentage increase & decrease using Multipliers
Increase 320 by 10% 352 Increase 175 by 15% 201.25 Increase 156 by 35% 210.6 Decrease 240 by 20% 192 Decrease 865 by 40% 519 Increase 125 by 12% 140 Increase 264 by 29% 340.56 Decrease 1008 by 7% 937.44 Decrease 298 by 13% 259.26 © T Madas

Percentage increase & decrease using Multipliers
Increase 340 by 15% 391 Increase 245 by 18% 289.1 Increase 825 by 34% 1105.5 Decrease 280 by 15% 238 Decrease 345 by 40% 207 Increase 9832 by 16% Increase 398 by 31% 521.38 Decrease 1538 by 5% 1461.1 Decrease 312 by 11% 277.68 © T Madas

Percentage Changes using Multipliers
Calculate the following percentages by using multipliers: Increase 220 by 15%: Decrease 230 by 15%: Increase 125 by 12%: Decrease 180 by 9%: Increase 320 by 22% : Decrease 155 by 18%: Increase 275 by 24%: Decrease 725 by 25%: Increase 520 by 35%: Decrease 900 by 16%: 220 230 125 180 320 155 275 725 520 900 x 1.15 = x 0.85 = x 1.12 = x 0.91 = x 1.22 = x 0.82 = x 1.24 = x 0.75 = x 1.35 = x 0.84 = 253 195.5 140 163.8 390.4 127.1 341 543.75 702 756 © T Madas

Percentage Changes using Multipliers
Calculate the following percentages by using multipliers: Increase 260 by 15%: Decrease 450 by 12%: Increase 225 by 16%: Decrease 184 by 5%: Increase 780 by 7% : Decrease 265 by 18%: Increase 430 by 8%: Decrease 870 by 6%: Increase 520 by 17.5%: Decrease 900 by 5.5%: 260 450 225 184 780 265 430 870 520 900 x 1.15 = x 0.88 = x 1.16 = x 0.95 = x 1.07 = x 0.82 = x 1.08 = x 0.94 = x = x = 299 396 261 174.8 834.6 217.3 464.4 817.8 611 850.5 © T Madas

Percentage increase & decrease using Multipliers
Increase 320 by 10% 352 Increase 175 by 15% 201.25 Increase 156 by 35% 210.6 Decrease 240 by 20% 192 Decrease 865 by 40% 519 Increase 125 by 12% 140 Increase 264 by 29% 340.56 Decrease 1008 by 7% 937.44 Decrease 298 by 13% 259.26 © T Madas

Percentage increase & decrease using Multipliers
Increase 340 by 15% 391 Increase 245 by 18% 289.1 Increase 825 by 34% 1105.5 Decrease 280 by 15% 238 Decrease 345 by 40% 207 Increase 9832 by 16% Increase 398 by 31% 521.38 Decrease 1538 by 5% 1461.1 Decrease 312 by 11% 277.68 © T Madas

What is the decimal you multiply with to …
… find 15% of a number … increase a number by 12% … decrease a number by 5% … increase a number by 20% … find 45% of a number … decrease a number by 15% … find 20% of a number … increase a number by 50% … decrease a number by 30% … find 25% of a number 0.15 1.12 0.95 1.2 0.45 0.85 0.2 1.5 0.7 0.25 © T Madas

What is the decimal you multiply with to …
… find 35% of a number … increase a number by 35% … decrease a number by 35% … increase a number by 12% … find 85% of a number … decrease a number by 4% … find 12.5% of a number … increase a number by 5% … decrease a number by 12% … find 17.5% of a number 0.35 1.35 0.65 1.12 0.85 0.96 0.125 1.05 0.88 0.175 © T Madas

What is the decimal you multiply with to …
… find 22.5% of a number … increase a number by 17.5% … decrease a number by 11% … increase a number by 12.5% … find 95% of a number … decrease a number by 24% … find 7.5% of a number … increase a number by 6.2% … decrease a number by 65% … find 1.2% of a number 0.225 1.175 0.89 1.125 0.95 0.86 0.075 1.062 0.35 0.012 © T Madas

What is the decimal you multiply with to …
… find 15% of a number … increase a number by 12% … decrease a number by 5% … increase a number by 20% … find 45% of a number … decrease a number by 15% … find 20% of a number … increase a number by 50% … decrease a number by 30% … find 25% of a number 0.15 1.12 0.95 1.2 0.45 0.85 0.2 1.5 0.7 0.25 © T Madas

What is the decimal you multiply with to …
… find 35% of a number … increase a number by 35% … decrease a number by 35% … increase a number by 12% … find 85% of a number … decrease a number by 4% … find 12.5% of a number … increase a number by 5% … decrease a number by 12% … find 17.5% of a number 0.35 1.35 0.65 1.12 0.85 0.96 0.125 1.05 0.88 0.175 © T Madas

What is the decimal you multiply with to …
… find 22.5% of a number … increase a number by 17.5% … decrease a number by 11% … increase a number by 12.5% … find 95% of a number … decrease a number by 24% … find 7.5% of a number … increase a number by 6.2% … decrease a number by 65% … find 1.2% of a number 0.225 1.175 0.89 1.125 0.95 0.86 0.075 1.062 0.35 0.012 © T Madas