What is 82.5% of 1000?
Calculate 82.5% of 1000 with a complete step-by-step solution.
Answer:
82.5% of 1000 = 825
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 82.5% of 1000.
The word "percent" means "per hundred" or "out of 100".
So 82.5% means 82.5 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:
82.5 ÷ 100 = 0.825
This means 82.5% = 0.825
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.825 × 1000 = 825
So 82.5% of 1000 = 825
Step 4
Alternative Method
You can also think of it as a fraction:
82.5% of 1000 = (82.5/100) × 1000
= (82.5 × 1000) / 100
= 82500 / 100
= 825