What is 87% of 1600?
Calculate 87% of 1600 with a complete step-by-step solution.
Answer:
87% of 1600 = 1392
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 87% of 1600.
The word "percent" means "per hundred" or "out of 100".
So 87% means 87 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:
87 ÷ 100 = 0.87
This means 87% = 0.87
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.87 × 1600 = 1392
So 87% of 1600 = 1392
Step 4
Alternative Method
You can also think of it as a fraction:
87% of 1600 = (87/100) × 1600
= (87 × 1600) / 100
= 139200 / 100
= 1392