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UT · Utility Engine

Percentage Calculator

A free, all-in-one percentage calculator. Work out what is X% of Y, find what percent one number is of another, and calculate percentage increase or decrease — with instant results and the math shown.

Choose Type

Select What to Calculate

20%
500

Calculation Result

This shows the percentage relationship between the two numbers you entered.

How to use this tool

1
Pick What to Solve

Choose a mode: 'Find Value' (what is X% of Y), 'Find %' (X is what percent of Y), or 'Find Growth' (percentage change between two numbers).

2
Enter Your Numbers

Type the two values into the boxes, or drag the sliders, to get an instant answer.

3
Read the Result

See the percentage, the decimal equivalent, and the multiplier so you can use the number anywhere.

Pro Tip

Switch to 'Find %' to answer test-score and discount questions like '38 out of 50 is what percent?' in one tap.

Result of 20% from 500
100.00
Mathematical Multiplier
0.2000x
Decimal Value
1.0000
As a Decimal
1.0000
Growth Rate
2.0000x
Status
Verified
Engine
Active

Money & Finance

Percentages help you track how much your savings, investments, or prices grow over time, making them essential for managing your money.

Comparing Numbers

Using percentages makes it easy to compare different numbers and see which one is performing better or changing faster.

One Tool for Every Percentage Question

Percentages are everywhere — discounts, test scores, tips, interest rates, salary raises, and statistics. Yet most people only remember one type of percentage problem and get stuck on the others. This percentage calculator solves all three core questions in one place, shows the math, and gives you the decimal and multiplier so you can reuse the number anywhere. No signup, no tracking — just open it and type.

The Three Percentage Problems (and the One Formula Behind Them)

Almost every percentage question is a version of a single relationship:

(part ÷ whole) × 100 = percentage

Rearranging which piece is unknown gives the three modes in the calculator:

  1. Find Value — "What is X% of Y?" You know the percentage and the total; you want the part. 20% of 500 = 100.
  2. Find % — "X is what percent of Y?" You know the part and the total; you want the percentage. 38 out of 50 = 76%.
  3. Find Growth — "Percentage change from A to B?" You know an old and a new value; you want the relative change. 100 → 150 = +50%.

Pick the mode that matches your question and the tool handles the arithmetic instantly.

Worked Example 1: A Percentage of a Number

Say a jacket costs Rs. 4,000 and there's a 35% discount. To find the saving, use Find Value: (35 ÷ 100) × 4,000 = Rs. 1,400 off, leaving a Rs. 2,600 price. The same mode answers "what is 15% of 200?" (the answer is 30) or "how much is 8% sales tax on $75?" (the answer is $6).

Worked Example 2: One Number as a Percent of Another

Imagine you scored 38 out of 50 on a quiz. Use Find %: (38 ÷ 50) × 100 = 76%. This is the mode for test scores, attendance, completion rates, and "what percentage of my budget did I spend?" questions. It is the most commonly misremembered formula, which is exactly why having it a tap away is useful.

Worked Example 3: Percentage Increase and Decrease

Your electricity bill rose from Rs. 8,000 to Rs. 10,400. Use Find Growth: ((10,400 − 8,000) ÷ 8,000) × 100 = +30%. If a value falls — say a stock from 150 to 120 — the same formula returns −20%, a decrease. This mode powers year-over-year growth, price hikes, weight change, and investment returns.

Percentage Change vs. Percentage Points

A common source of confusion: if an interest rate moves from 10% to 12%, that is a 2 percentage-point rise, but a 20% relative increase (2 ÷ 10). News headlines often blur the two. When you want the relative change, use Find Growth; when you simply need the gap between two percentages, subtract them directly.

Quick Tips for Everyday Percentages

  • Mental shortcut for 10%: move the decimal one place left. 10% of 350 is 35, so 5% is 17.5 and 20% is 70.
  • Tips made easy: 15% is 10% plus half of 10%. For a $60 bill: $6 + $3 = $9.
  • Reverse a discount: if an item is Rs. 2,600 after 35% off, divide by 0.65 to recover the original Rs. 4,000.
  • Use the decimal output: the calculator shows each result as a decimal (e.g. 0.76) so you can paste it straight into spreadsheet formulas.

Why Use This Calculator

Doing percentages by hand invites small slips — a misplaced decimal or the wrong number on the bottom of the fraction. This tool removes that risk, shows the working so you actually learn the method, and covers shopping, school, finance, and business in a single screen. Bookmark it for the next time a "what percent…" question comes up, and pair it with the discount and tip calculators for everyday money math.

Common Questions

Expert FAQ