What is 5.38% of 3200?
Calculate 5.38% of 3200 with a complete step-by-step solution.
Answer:
5.38% of 3200 = 172.16
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 5.38% of 3200.
The word "percent" means "per hundred" or "out of 100".
So 5.38% means 5.38 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:
5.38 ÷ 100 = 0.0538
This means 5.38% = 0.0538
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.0538 × 3200 = 172.16
So 5.38% of 3200 = 172.16
Step 4
Alternative Method
You can also think of it as a fraction:
5.38% of 3200 = (5.38/100) × 3200
= (5.38 × 3200) / 100
= 17216 / 100
= 172.16