What is 45% of 1600?
Calculate 45% of 1600 with a complete step-by-step solution.
Answer:
45% of 1600 = 720
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 45% of 1600.
The word "percent" means "per hundred" or "out of 100".
So 45% means 45 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:
45 ÷ 100 = 0.45
This means 45% = 0.45
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.45 × 1600 = 720
So 45% of 1600 = 720
Step 4
Alternative Method
You can also think of it as a fraction:
45% of 1600 = (45/100) × 1600
= (45 × 1600) / 100
= 72000 / 100
= 720