What is 77.5% of 2000?
Calculate 77.5% of 2000 with a complete step-by-step solution.
Answer:
77.5% of 2000 = 1550
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 77.5% of 2000.
The word "percent" means "per hundred" or "out of 100".
So 77.5% means 77.5 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:
77.5 ÷ 100 = 0.775
This means 77.5% = 0.775
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.775 × 2000 = 1550
So 77.5% of 2000 = 1550
Step 4
Alternative Method
You can also think of it as a fraction:
77.5% of 2000 = (77.5/100) × 2000
= (77.5 × 2000) / 100
= 155000 / 100
= 1550