Percentage Calculator

From a general point of view, comprehension and computation of percentages is necessary for most of the mathematic values. Whether you're looking to find a percentage, solve for an unknown value, or convert a number to a percentage, the appropriate formulas will make the work easy.

The most basic formula for calculating percentages is X/Y = P × 100. Here are the different forms from this base equation X: Y = P

Basic Formula of Percentage Calculations

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1. Determining P percent of X

Use the formula: P% × X = Y

Example: What is 10% of 150?

• When we express this in terms of an equation it might look something like this: 10% × 150 = Y.
• The percentage is converted to a decimal: 10/100 = .10
• Now plug that in and solve: 0.10 × 150 = 15
• Thus, 10% of 150 is 15.

2. Related Topics: What Percentage of X is Y

Use the formula: Y/X = P%

E.g. 12 out of 60 = What percent of =?

• Line up the equation: 12/60 = P%
• Calculate the value: 12 out of 60 = 0.20
• Fraction to percentage: 0.20 100 = 20%.
• Therefore, 20% of 60 is 12.

3. Finding X, when Y = P% of it

Use the formula: Y/P% = X

Illustration: 25 is what percentage of 125?

• Type in an equation like this 25/20% = X
• As a fraction: 20/100 = 0.20
• Replace and resolve: 25/0.20 = 125
• Thus, 25 is 20% of 125.

Conversion Reminders:

To convert a percentage to a decimal, simply divide it by 100 (for example, 15.6% is the same thing as 0.156).

To turn a decimal into a percent, one multiplies by 100 (0.876 = 87.6%)

Various Percentage Problems

They fall under the nine prime variations. For all three types, identify the problem and its associated solution strategy:

• Calculating P percent of X:

Formula: Y = P% × X

Example: 10% of 25 is 2.5.

• To Find Y Percent of X:

Formula: P% = Y ÷ X

Example: 12 is 30% of 40.

• How to determine X when P% of X is equal to Y:

Formula: X = Y ÷ P%

Example: 9 is 60% of 15.

• Find what percentage of X is Y:

Formula: P% = Y ÷ X

Example: 22.22% of 27 is 6.

• Given that Y = P percent then find X:

Formula: X = Y ÷ P%

e.g 20% = 7 => 35

• Where P percent of X is Y So to figure out Y:

Formula: Y = P% × X

Example: 5% of 29 is 1.45.

• Figuring Y of X as P percent:

Formula: X = Y ÷ P%

Example: 4 of 33.33 is 12%.

• Finding Y such that P% of X = Y

Formula: Y = P% × X

Example: 11% of 25 is 2.75.

• When Y is part of X, find the percentage.

Formula: P% = Y ÷ X

Example: 69.23% when 9 of 13.

These numbers and formulas can be used in a professional way for anyone to solve the entire percentage-based problems confidently.