Percentage Calculations
Calculate percentages using mathematical expressions. Learn formulas for percentage of a value, percentage change, and percentage difference with real-world examples.
Detailed Explanation
Percentage Calculations
Percentages are one of the most common everyday math operations. While
the evaluator does not have a dedicated % percent operator (the %
symbol means modulo), you can express any percentage calculation as a
simple expression.
Percentage of a Value
"What is X% of Y?" translates to:
X / 100 * Y
Examples:
15 / 100 * 200 = 30 (15% of 200)
7.5 / 100 * 80 = 6 (7.5% of 80)
0.5 / 100 * 1000 = 5 (0.5% of 1000)
Percentage Change
"What is the percentage change from A to B?"
((B - A) / abs(A)) * 100
Example: price went from 50 to 65:
((65 - 50) / abs(50)) * 100 = 30
That is a 30% increase.
Adding/Removing a Percentage
Adding tax (e.g., 8.5% sales tax to a $49.99 item):
49.99 * (1 + 8.5/100) = 54.239
Discount (e.g., 25% off $120):
120 * (1 - 25/100) = 90
Finding the Original Before Tax
If the final price including 20% tax is 240, the original is:
240 / (1 + 20/100) = 200
Tip Calculator
A quick 18% tip on a $75 meal:
75 * 18 / 100 = 13.5
Use Case
A shopper calculating sale discounts and tax, or an analyst computing year-over-year revenue growth percentages.