What is 10.38% of 1600?
Calculate 10.38% of 1600 with a complete step-by-step solution.
Answer:
10.38% of 1600 = 166.08
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 10.38% of 1600.
The word "percent" means "per hundred" or "out of 100".
So 10.38% means 10.38 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:
10.38 ÷ 100 = 0.1038
This means 10.38% = 0.1038
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.1038 × 1600 = 166.08
So 10.38% of 1600 = 166.08
Step 4
Alternative Method
You can also think of it as a fraction:
10.38% of 1600 = (10.38/100) × 1600
= (10.38 × 1600) / 100
= 16608 / 100
= 166.08