What is 8.63% of 1600?
Calculate 8.63% of 1600 with a complete step-by-step solution.
Answer:
8.63% of 1600 = 138.08
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 8.63% of 1600.
The word "percent" means "per hundred" or "out of 100".
So 8.63% means 8.63 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:
8.63 ÷ 100 = 0.0863
This means 8.63% = 0.0863
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.0863 × 1600 = 138.08
So 8.63% of 1600 = 138.08
Step 4
Alternative Method
You can also think of it as a fraction:
8.63% of 1600 = (8.63/100) × 1600
= (8.63 × 1600) / 100
= 13808 / 100
= 138.08