What is 40% of 1600?

Calculate 40% of 1600 with a complete step-by-step solution.

What is % of
Answer: 40% of 1600 = 640
Step-by-Step Solution
Step 1 Understand the Problem

We need to find 40% of 1600.


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

So 40% means 40 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:

40 ÷ 100 = 0.4

This means 40% = 0.4

Step 3 Multiply to Find the Result

Now multiply the decimal by the number:


0.4 × 1600 = 640


So 40% of 1600 = 640

Step 4 Alternative Method

You can also think of it as a fraction:


40% of 1600 = (40/100) × 1600

= (40 × 1600) / 100

= 64000 / 100

= 640