What is 42.66% of 6400?
Calculate 42.66% of 6400 with a complete step-by-step solution.
Answer:
42.66% of 6400 = 2730.24
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 42.66% of 6400.
The word "percent" means "per hundred" or "out of 100".
So 42.66% means 42.66 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:
42.66 ÷ 100 = 0.4266
This means 42.66% = 0.4266
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.4266 × 6400 = 2730.24
So 42.66% of 6400 = 2730.24
Step 4
Alternative Method
You can also think of it as a fraction:
42.66% of 6400 = (42.66/100) × 6400
= (42.66 × 6400) / 100
= 273024 / 100
= 2730.24