What is 17.5% of 1600?
Calculate 17.5% of 1600 with a complete step-by-step solution.
Answer:
17.5% of 1600 = 280
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 17.5% of 1600.
The word "percent" means "per hundred" or "out of 100".
So 17.5% means 17.5 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:
17.5 ÷ 100 = 0.175
This means 17.5% = 0.175
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.175 × 1600 = 280
So 17.5% of 1600 = 280
Step 4
Alternative Method
You can also think of it as a fraction:
17.5% of 1600 = (17.5/100) × 1600
= (17.5 × 1600) / 100
= 28000 / 100
= 280