What is 12.25% of 400?
Calculate 12.25% of 400 with a complete step-by-step solution.
Answer:
12.25% of 400 = 49
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 12.25% of 400.
The word "percent" means "per hundred" or "out of 100".
So 12.25% means 12.25 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:
12.25 ÷ 100 = 0.1225
This means 12.25% = 0.1225
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.1225 × 400 = 49
So 12.25% of 400 = 49
Step 4
Alternative Method
You can also think of it as a fraction:
12.25% of 400 = (12.25/100) × 400
= (12.25 × 400) / 100
= 4900 / 100
= 49