Remember: How to convert a percentage to a decimal Remove the percentage sign and divide by 100 15.6% = 15.6/100 = 0.156 | Remember: How to convert a decimal to a percentage Multiply by 100 and add a percentage sign 0.876 = 0.876 * 100 = 87.6% |
| Y of what is P percent? Written as an equation: Y / X = P% The 'what' is X that we want to solve for Multiply both sides by X to get X out of the denominator (Y / X) * X = P% * X becomes Y = P% * X Divide both sides by P% so that X is on one side of the equation Y ÷ P% = (P% * X) ÷ P% becomes Y ÷ P% = X Solution: Solve for X using the percentage formula X = Y ÷ P% | Example: 4 of what is 12%? Written using the formula: X = 4 ÷ 12% Solve for X: X = Y ÷ P% Convert the percent to a decimal 12% ÷ 100 = 0.12 X = 4 ÷ 0.12 X = 33.3333 4 of 33.3333 is 12% |
| What of X is P percent? Written as an equation: Y / X = P% The 'what' is Y that we want to solve for Multiply both sides by X to get Y on one side of the equation (Y ÷ X) * X = P% * X becomes Y = P% * X Solution: Solve for Y using the percentage formula Y = P% * X | Example: What of 25 is 11%? Written using the formula: Y = 11% * 25 Convert the percent to a decimal 11% ÷ 100 = 0.11 Y = 0.11 * 25 Y = 2.75 So 2.75 of 25 is 11% |
| Y of X is what percent? Written as an equation: Y / X = P% The 'what' is P% that we want to solve for Solution: Solve for P% using the percentage formula P% = Y / X | Example: 9 of 13 is what percent? Written using the formula: P% = Y / X 9 ÷ 13 = P% 9 ÷ 13 = 0.6923 Convert decimal to percent by multiplying by 100 0.6923 * 100 = 69.23% 9 ÷ 13 = 69.23% So 9 of 13 is 69.23% |
| What is P percent of X? Written as an equation: Y = P% * X The 'what' is Y that we want to solve for Remember to first convert percentage to decimal, dividing by 100 Solution: Solve for Y using the percentage formula Y = P% * X | Example: What is 10% of 25? |
how to calculate percentage
Asked 17-Mar-2019
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