Calculate percentages, increases, decreases, and more
Advertisement
To find the original value before a percentage increase or decrease was applied, use the reverse formula. For example, if a price increased 20% to $120, the original price was $120 ÷ 1.20 = $100.
Yes. A 100% increase means the value has increased by an amount equal to itself, which results in exactly double the original value.
Percentage change is relative to the original value. Percentage points measure the absolute difference between two percentages. If a rate goes from 5% to 8%, that is 3 percentage points but a 60% increase.
Divide the part by the whole and multiply by 100. Example: 25 is what percent of 80? Answer: (25 ÷ 80) × 100 = 31.25%.
Divide the remaining amount by (1 minus the percentage as a decimal). Example: after a 30% discount the price is $70. Original: $70 ÷ 0.70 = $100.
A percentage calculator finds a part of a whole, percent change between two values, or the whole from a part and a percent.
Part = (percent/100)×whole; percent change = ((new−old)/old)×100
Where: symbols follow the inputs and conventions used in this calculator (principal, rates, terms, or units as labeled).
15% of $80 is $12; a price rising from $80 to $92 is a 15% increase.