What is 112.5% of 400?
Calculate 112.5% of 400 with a complete step-by-step solution.
Answer:
112.5% of 400 = 450
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 112.5% of 400.
The word "percent" means "per hundred" or "out of 100".
So 112.5% means 112.5 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:
112.5 ÷ 100 = 1.125
This means 112.5% = 1.125
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
1.125 × 400 = 450
So 112.5% of 400 = 450
Step 4
Alternative Method
You can also think of it as a fraction:
112.5% of 400 = (112.5/100) × 400
= (112.5 × 400) / 100
= 45000 / 100
= 450