What is 82% of 1600?
Calculate 82% of 1600 with a complete step-by-step solution.
Answer:
82% of 1600 = 1312
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 82% of 1600.
The word "percent" means "per hundred" or "out of 100".
So 82% means 82 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:
82 ÷ 100 = 0.82
This means 82% = 0.82
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.82 × 1600 = 1312
So 82% of 1600 = 1312
Step 4
Alternative Method
You can also think of it as a fraction:
82% of 1600 = (82/100) × 1600
= (82 × 1600) / 100
= 131200 / 100
= 1312