Percentage Calculator

To calculate a percentage, divide the part by the whole and multiply by 100. For example, if you have 25 out of 100, the percentage is (25 ÷ 100) × 100 = 25%. The formula is: Percentage = (Part ÷ Whole) × 100.

To calculate percentage increase, subtract the original value from the new value, divide by the original value, and multiply by 100. Formula: ((New Value - Original Value) ÷ Original Value) × 100. For example, if a price increases from $100 to $120, the percentage increase is ((120 - 100) ÷ 100) × 100 = 20%.

To calculate percentage decrease, subtract the new value from the original value, divide by the original value, and multiply by 100. Formula: ((Original Value - New Value) ÷ Original Value) × 100. For example, if a price decreases from $100 to $80, the percentage decrease is ((100 - 80) ÷ 100) × 100 = 20%.

A percentage is a ratio expressed as a fraction of 100. Percentage points are the difference between two percentages. For example, if interest rates increase from 5% to 7%, that's a 2 percentage point increase, or a 40% increase relative to the original rate. Percentage points are absolute differences, while percentages can be relative changes.

To convert a decimal to a percentage, multiply by 100. For example, 0.25 becomes 25%, 0.75 becomes 75%, and 1.5 becomes 150%. You can also move the decimal point two places to the right and add the % symbol.

To convert a percentage to a decimal, divide by 100. For example, 25% becomes 0.25, 75% becomes 0.75, and 150% becomes 1.5. You can also move the decimal point two places to the left and remove the % symbol.

To find what percentage one number is of another, divide the first number by the second number and multiply by 100. For example, if 15 is what percentage of 60, the calculation is (15 ÷ 60) × 100 = 25%. So 15 is 25% of 60.

To add or subtract percentages, first convert them to decimals, perform the calculation, then convert back to a percentage. For example, 25% + 15% = 0.25 + 0.15 = 0.40 = 40%. However, be careful with percentage changes - a 10% increase followed by a 10% decrease doesn't return to the original value.

Compound percentage growth occurs when a percentage change is applied repeatedly to the new value each time. For example, if an investment grows 10% each year, after 2 years it grows by 21% (not 20%) because the second year's 10% is calculated on the new higher value.

To calculate the percentage of total, divide the specific value by the total value and multiply by 100. For example, if you spent $30 out of a $100 budget, the percentage of total is (30 ÷ 100) × 100 = 30%. This shows what portion of the total the specific value represents.