What Percent is 200 of 400?
Find what percentage 200 is of 400 with a complete step-by-step solution.
Answer:
200 is 50% of 400
Step-by-Step Solution
Step 1
Understand the Problem
We need to find what percentage 200 is of 400.
Part (the amount we have): 200
Whole (the total): 400
We're asking: "200 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:
200 ÷ 400 = 0.5
Step 2: Multiply by 100 to convert to percent:
0.5 × 100 = 50%
Step 4
Interpret the Result
200 is 50% of 400.
This means if you had 400 items and took 200 of them,
you would have 50% of the total.