What is 84.5% of 1600?
Calculate 84.5% of 1600 with a complete step-by-step solution.
Answer:
84.5% of 1600 = 1352
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 84.5% of 1600.
The word "percent" means "per hundred" or "out of 100".
So 84.5% means 84.5 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:
84.5 ÷ 100 = 0.845
This means 84.5% = 0.845
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.845 × 1600 = 1352
So 84.5% of 1600 = 1352
Step 4
Alternative Method
You can also think of it as a fraction:
84.5% of 1600 = (84.5/100) × 1600
= (84.5 × 1600) / 100
= 135200 / 100
= 1352