What is 105% of 1600?
Calculate 105% of 1600 with a complete step-by-step solution.
Answer:
105% of 1600 = 1680
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 105% of 1600.
The word "percent" means "per hundred" or "out of 100".
So 105% means 105 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:
105 ÷ 100 = 1.05
This means 105% = 1.05
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
1.05 × 1600 = 1680
So 105% of 1600 = 1680
Step 4
Alternative Method
You can also think of it as a fraction:
105% of 1600 = (105/100) × 1600
= (105 × 1600) / 100
= 168000 / 100
= 1680