Your Go-To Tool for All Things Percentage
Percentages are a part of our daily lives, from calculating a tip at a restaurant to understanding a discount at a store. But sometimes the math can be a little tricky. I designed this comprehensive Percentage Calculator to be a one-stop tool for all the common percentage problems you might encounter.
What Can This Calculator Do?
I've broken this tool down into four key functions to cover all the bases:
- What is P% of X? Perfect for calculating tips, taxes, or discounts. Example: What is 15% of $80?
- X is what percent of Y? Use this to find out what portion one number is of another. Example: 30 is what percent of 150?
- Percentage Change: Calculate the percentage increase or decrease from an old number to a new one. Example: What is the percentage change from 100 to 120?
- X is P% of What? This is great for reverse calculations. Example: 50 is 25% of what number?
Understanding the Formulas
Here's a quick look at the simple math behind each calculation:
1. Finding a Percentage of a Number
To find what P percent of X is, you convert the percentage to a decimal and multiply.
Result = (P / 100) * X
2. Finding What Percent X is of Y
To find what percentage X is of Y, you divide X by Y and multiply by 100.
Percentage = (X / Y) * 100
3. Calculating Percentage Change
The percentage change is the difference between the final and initial values, divided by the absolute initial value, all multiplied by 100.
% Change = ((Final Value - Initial Value) / |Initial Value|) * 100
4. Reverse Percentage Calculation
If you know a part (X) and the percentage it represents (P), you can find the whole amount.
Original Whole = X / (P / 100)
