What is 46.25% of 256000?
Calculate 46.25% of 256000 with a complete step-by-step solution.
Answer:
46.25% of 256000 = 118400
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 46.25% of 256000.
The word "percent" means "per hundred" or "out of 100".
So 46.25% means 46.25 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:
46.25 ÷ 100 = 0.4625
This means 46.25% = 0.4625
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.4625 × 256000 = 118400
So 46.25% of 256000 = 118400
Step 4
Alternative Method
You can also think of it as a fraction:
46.25% of 256000 = (46.25/100) × 256000
= (46.25 × 256000) / 100
= 11840000 / 100
= 118400