What Percent is 170 of 400?
Find what percentage 170 is of 400 with a complete step-by-step solution.
Answer:
170 is 42.5% of 400
Step-by-Step Solution
Step 1
Understand the Problem
We need to find what percentage 170 is of 400.
Part (the amount we have): 170
Whole (the total): 400
We're asking: "170 out of 400 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:
170 ÷ 400 = 0.425
Step 2: Multiply by 100 to convert to percent:
0.425 × 100 = 42.5%
Step 4
Interpret the Result
170 is 42.5% of 400.
This means if you had 400 items and took 170 of them,
you would have 42.5% of the total.