India Tool
Solve percentage of, common phrase questions, percentage difference, and percentage increase or decrease — plus a short guide to the formulas.
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Provide any two values, then calculate the third.
Three different questions — each finds a different missing piece.
Find the amount
You know the percent and the whole. Solve: what is X% of Y?
Find the percent
You know the part and the whole. Solve: X is what % of Y?
Find the whole
You know the part and the percent. Solve: X is Y% of what?
Compare how far apart two numbers are, relative to their average.
Provide any two values to find the third — starting amount, percent, or final amount.
Learn the math
Short reference for the four calculators above — same formulas, written for everyday use.
A percentage expresses a share of a whole as parts per hundred. The symbol % marks that scale: 35% means the same thing as the decimal 0.35 or the fraction 35/100 (which simplifies to 7/20).
You get a percentage by taking a ratio and multiplying by 100. If 25 of 50 students in a class are male, the ratio is 25 ÷ 50 = 0.5. Then:
0.5 × 100 = 50
so 50% of the class is male.
Most percentage problems use one relationship between three quantities: the percentage P, a starting value V₁, and the result V₂.
P × V₁ = V₂
In the calculator, P is entered as a percent (for example 5), and it is converted to a decimal (0.05) while computing. When you solve for P, the answer is returned as a percent again.
Example — solve for P when 30 × P = 1.5:
P = 1.5 ÷ 30 = 0.05
0.05 × 100 = 5%
Percentage difference measures how far two numbers are from each other relative to their average (not relative to one “starting” value). That makes it useful when neither number is obviously the baseline.
Percentage difference
= |V₁ − V₂| ÷ ((V₁ + V₂) / 2) × 100
Example with 10 and 6:
|10 − 6| ÷ ((10 + 6) / 2) = 4 ÷ 8 = 0.5
0.5 × 100 = 50%
Percentage change compares a new value to an original value. An increase or decrease by a given percent multiplies the original number by (1 + r) or (1 − r), where r is the percent written as a decimal.
Increase: V₂ = V₁ × (1 + P/100)
Decrease: V₂ = V₁ × (1 − P/100)
Examples starting from 500:
500 increased by 10% → 500 × (1 + 0.1) = 550
500 decreased by 10% → 500 × (1 − 0.1) = 450
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Enter the known values and leave the unknown blank when asked.
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