What is 46.25% of 800?
Calculate 46.25% of 800 with a complete step-by-step solution.
Answer:
46.25% of 800 = 370
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 46.25% of 800.
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 × 800 = 370
So 46.25% of 800 = 370
Step 4
Alternative Method
You can also think of it as a fraction:
46.25% of 800 = (46.25/100) × 800
= (46.25 × 800) / 100
= 37000 / 100
= 370