What is 53.75% of 1600?
Calculate 53.75% of 1600 with a complete step-by-step solution.
Answer:
53.75% of 1600 = 860
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 53.75% of 1600.
The word "percent" means "per hundred" or "out of 100".
So 53.75% means 53.75 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:
53.75 ÷ 100 = 0.5375
This means 53.75% = 0.5375
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.5375 × 1600 = 860
So 53.75% of 1600 = 860
Step 4
Alternative Method
You can also think of it as a fraction:
53.75% of 1600 = (53.75/100) × 1600
= (53.75 × 1600) / 100
= 86000 / 100
= 860