What is 102.5% of 2000?
Calculate 102.5% of 2000 with a complete step-by-step solution.
Answer:
102.5% of 2000 = 2050
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 102.5% of 2000.
The word "percent" means "per hundred" or "out of 100".
So 102.5% means 102.5 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:
102.5 ÷ 100 = 1.025
This means 102.5% = 1.025
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
1.025 × 2000 = 2050
So 102.5% of 2000 = 2050
Step 4
Alternative Method
You can also think of it as a fraction:
102.5% of 2000 = (102.5/100) × 2000
= (102.5 × 2000) / 100
= 205000 / 100
= 2050