What is 12.5 Percent of 85?

What is 12.5 percent of 85?

Answer: 12.5 percent of 85 is 10.625. Alternatively, we can say that 10.625 is equivalent to 12.5% of 85.

Solution for What is 12.5 percent of 85:

n = 12.5 percent of 85

n = 12.5 % * 85

n = \frac{12.5}{100} * 85

n = \frac{12.5 * 85}{100}

n = \frac{1062.5}{100}

n = 10.625

Now we have 12.5% of 85 = 10.625. Alternatively, we can express it as 12.5 percent of 85 equals 10.625.

The step-by-step process for finding what is 12.5 percent of 85:

The mathematical calculation of 12.5% of 85 can be broken down as follows:

12.5 percent * 85
Convert this into an equation: (12.5 / 100) * 85
Simplify the equation further: (12.5 * 85) / 100
Carry out the calculation: 1062.5 / 100
The final answer is: 10.625

Thus, we conclude that 12.5% of 85 is 10.625.

Explanation for What is 12.5% of 85:

Step 1: **12.5 percent * 85**

Think of percent as parts out of 100. So, when we say 12.5 percent, it's like having 12.5 parts out of a total of 100. What we want to do now is find out what those 12.5 parts would be if our total was 85 instead of 100.

Step 2: **(12.5 / 100) * 85**

This is like dividing our 12.5 parts into 100. It's as if we have 100 pieces of candy and we only want 12.5 of those pieces. That gives us 0.12.5 or 12.5 hundredths. Now we multiply those 12.5 parts (or 0.12.5) by 85 to find out what 12.5% of 85 would be.

Step 3: **(12.5 * 85) / 100**

This is an alternative calculation. Instead of doing it in two steps like we did before, we can also do it in one step. First, we multiply 12.5 (our 12.5 parts) by 85 (our total amount), and then we divide that by 100.

Step 4: 1062.5 / 100

The previous step gave us 1062.5. But remember we were pretending our total was 100? Now we have to divide by 100 to get back to the number for our real total, which is 85. That's why we divide 1062.5 by 100.

Step 5: 10.625

Finally, after dividing 1062.5 by 100, we arrive at the answer: 10.625. Hence, we can definitively say that 12.5% of 85 equals 10.625.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 12.5% of 85?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.