What is 52.5% of 800?

Calculate 52.5% of 800 with a complete step-by-step solution.

What is % of
Answer: 52.5% of 800 = 420
Step-by-Step Solution
Step 1 Understand the Problem

We need to find 52.5% of 800.


The word "percent" means "per hundred" or "out of 100".

So 52.5% means 52.5 out of every 100.

Step 2 Convert Percentage to Decimal

To calculate with percentages, we first convert to a decimal.


Divide the percentage by 100:

52.5 ÷ 100 = 0.525


This means 52.5% = 0.525

Step 3 Multiply to Find the Result

Now multiply the decimal by the number:


0.525 × 800 = 420


So 52.5% of 800 = 420

Step 4 Alternative Method

You can also think of it as a fraction:


52.5% of 800 = (52.5/100) × 800

= (52.5 × 800) / 100

= 42000 / 100

= 420