What is 26.38% of 1600?
Calculate 26.38% of 1600 with a complete step-by-step solution.
Answer:
26.38% of 1600 = 422.08
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 26.38% of 1600.
The word "percent" means "per hundred" or "out of 100".
So 26.38% means 26.38 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:
26.38 ÷ 100 = 0.2638
This means 26.38% = 0.2638
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.2638 × 1600 = 422.08
So 26.38% of 1600 = 422.08
Step 4
Alternative Method
You can also think of it as a fraction:
26.38% of 1600 = (26.38/100) × 1600
= (26.38 × 1600) / 100
= 42208 / 100
= 422.08