What is 74.25% of 1600?
Calculate 74.25% of 1600 with a complete step-by-step solution.
Answer:
74.25% of 1600 = 1188
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 74.25% of 1600.
The word "percent" means "per hundred" or "out of 100".
So 74.25% means 74.25 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:
74.25 ÷ 100 = 0.7425
This means 74.25% = 0.7425
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.7425 × 1600 = 1188
So 74.25% of 1600 = 1188
Step 4
Alternative Method
You can also think of it as a fraction:
74.25% of 1600 = (74.25/100) × 1600
= (74.25 × 1600) / 100
= 118800 / 100
= 1188