What is 92.5% of 6400?
Calculate 92.5% of 6400 with a complete step-by-step solution.
Answer:
92.5% of 6400 = 5920
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 92.5% of 6400.
The word "percent" means "per hundred" or "out of 100".
So 92.5% means 92.5 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:
92.5 ÷ 100 = 0.925
This means 92.5% = 0.925
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.925 × 6400 = 5920
So 92.5% of 6400 = 5920
Step 4
Alternative Method
You can also think of it as a fraction:
92.5% of 6400 = (92.5/100) × 6400
= (92.5 × 6400) / 100
= 592000 / 100
= 5920