What is 46% of 3200?
Calculate 46% of 3200 with a complete step-by-step solution.
Answer:
46% of 3200 = 1472
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 46% of 3200.
The word "percent" means "per hundred" or "out of 100".
So 46% means 46 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 ÷ 100 = 0.46
This means 46% = 0.46
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.46 × 3200 = 1472
So 46% of 3200 = 1472
Step 4
Alternative Method
You can also think of it as a fraction:
46% of 3200 = (46/100) × 3200
= (46 × 3200) / 100
= 147200 / 100
= 1472