What Percent is 225 of 200?
Find what percentage 225 is of 200 with a complete step-by-step solution.
Answer:
225 is 112.5% of 200
Step-by-Step Solution
Step 1
Understand the Problem
We need to find what percentage 225 is of 200.
Part (the amount we have): 225
Whole (the total): 200
We're asking: "225 out of 200 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:
225 ÷ 200 = 1.125
Step 2: Multiply by 100 to convert to percent:
1.125 × 100 = 112.5%
Step 4
Interpret the Result
225 is 112.5% of 200.
This means if you had 200 items and took 225 of them,
you would have 112.5% of the total.