What is 74.5% of 1600?
Calculate 74.5% of 1600 with a complete step-by-step solution.
Answer:
74.5% of 1600 = 1192
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 74.5% of 1600.
The word "percent" means "per hundred" or "out of 100".
So 74.5% means 74.5 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:
74.5 ÷ 100 = 0.745
This means 74.5% = 0.745
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.745 × 1600 = 1192
So 74.5% of 1600 = 1192
Step 4
Alternative Method
You can also think of it as a fraction:
74.5% of 1600 = (74.5/100) × 1600
= (74.5 × 1600) / 100
= 119200 / 100
= 1192