What Percent is 120 of 1600?

Find what percentage 120 is of 1600 with a complete step-by-step solution.

What percent is of
Answer: 120 is 7.5% of 1600
Step-by-Step Solution
Step 1 Understand the Problem

We need to find what percentage 120 is of 1600.


Part (the amount we have): 120

Whole (the total): 1600


We're asking: "120 out of 1600 is how many percent?"

Step 2 Set Up the Formula

To find what percent one number is of another, we use:


Percentage = (Part ÷ Whole) × 100


This gives us the part as a fraction of the whole, then converts to a percentage.

Step 3 Calculate the Percentage

Step 1: Divide the part by the whole:

120 ÷ 1600 = 0.075

Step 2: Multiply by 100 to convert to percent:

0.075 × 100 = 7.5%

Step 4 Interpret the Result

120 is 7.5% of 1600.


This means if you had 1600 items and took 120 of them,

you would have 7.5% of the total.