What is 8.25% of 3200?
Calculate 8.25% of 3200 with a complete step-by-step solution.
Answer:
8.25% of 3200 = 264
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 8.25% of 3200.
The word "percent" means "per hundred" or "out of 100".
So 8.25% means 8.25 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:
8.25 ÷ 100 = 0.0825
This means 8.25% = 0.0825
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.0825 × 3200 = 264
So 8.25% of 3200 = 264
Step 4
Alternative Method
You can also think of it as a fraction:
8.25% of 3200 = (8.25/100) × 3200
= (8.25 × 3200) / 100
= 26400 / 100
= 264