What is 105.5% of 400?
Calculate 105.5% of 400 with a complete step-by-step solution.
Answer:
105.5% of 400 = 422
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 105.5% of 400.
The word "percent" means "per hundred" or "out of 100".
So 105.5% means 105.5 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:
105.5 ÷ 100 = 1.055
This means 105.5% = 1.055
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
1.055 × 400 = 422
So 105.5% of 400 = 422
Step 4
Alternative Method
You can also think of it as a fraction:
105.5% of 400 = (105.5/100) × 400
= (105.5 × 400) / 100
= 42200 / 100
= 422