What is 242.5% of 4000?
Calculate 242.5% of 4000 with a complete step-by-step solution.
Answer:
242.5% of 4000 = 9700
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 242.5% of 4000.
The word "percent" means "per hundred" or "out of 100".
So 242.5% means 242.5 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:
242.5 ÷ 100 = 2.425
This means 242.5% = 2.425
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
2.425 × 4000 = 9700
So 242.5% of 4000 = 9700
Step 4
Alternative Method
You can also think of it as a fraction:
242.5% of 4000 = (242.5/100) × 4000
= (242.5 × 4000) / 100
= 970000 / 100
= 9700