What is 42.25% of 400?

Calculate 42.25% of 400 with a complete step-by-step solution.

What is % of
Answer: 42.25% of 400 = 169
Step-by-Step Solution
Step 1 Understand the Problem

We need to find 42.25% of 400.


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

So 42.25% means 42.25 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:

42.25 ÷ 100 = 0.4225


This means 42.25% = 0.4225

Step 3 Multiply to Find the Result

Now multiply the decimal by the number:


0.4225 × 400 = 169


So 42.25% of 400 = 169

Step 4 Alternative Method

You can also think of it as a fraction:


42.25% of 400 = (42.25/100) × 400

= (42.25 × 400) / 100

= 16900 / 100

= 169