What is 30% of 1600?

Calculate 30% of 1600 with a complete step-by-step solution.

What is % of
Answer: 30% of 1600 = 480
Step-by-Step Solution
Step 1 Understand the Problem

We need to find 30% of 1600.


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

So 30% means 30 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:

30 ÷ 100 = 0.3

This means 30% = 0.3

Step 3 Multiply to Find the Result

Now multiply the decimal by the number:


0.3 × 1600 = 480


So 30% of 1600 = 480

Step 4 Alternative Method

You can also think of it as a fraction:


30% of 1600 = (30/100) × 1600

= (30 × 1600) / 100

= 48000 / 100

= 480