What is 17.5 Percent of 80?

What is 17.5 percent of 80?

Answer: 17.5 percent of 80 is 14. Alternatively, we can say that 14 is equivalent to 17.5% of 80.

Solution for What is 17.5 percent of 80:

n = 17.5 percent of 80

n = 17.5 % * 80

n = \frac{17.5}{100} * 80

n = \frac{17.5 * 80}{100}

n = \frac{1400}{100}

n = 14

Now we have 17.5% of 80 = 14. Alternatively, we can express it as 17.5 percent of 80 equals 14.

The step-by-step process for finding what is 17.5 percent of 80:

The mathematical calculation of 17.5% of 80 can be broken down as follows:

17.5 percent * 80
Convert this into an equation: (17.5 / 100) * 80
Simplify the equation further: (17.5 * 80) / 100
Carry out the calculation: 1400 / 100
The final answer is: 14

Thus, we conclude that 17.5% of 80 is 14.

Explanation for What is 17.5% of 80:

Step 1: **17.5 percent * 80**

Think of percent as parts out of 100. So, when we say 17.5 percent, it's like having 17.5 parts out of a total of 100. What we want to do now is find out what those 17.5 parts would be if our total was 80 instead of 100.

Step 2: **(17.5 / 100) * 80**

This is like dividing our 17.5 parts into 100. It's as if we have 100 pieces of candy and we only want 17.5 of those pieces. That gives us 0.17.5 or 17.5 hundredths. Now we multiply those 17.5 parts (or 0.17.5) by 80 to find out what 17.5% of 80 would be.

Step 3: **(17.5 * 80) / 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 17.5 (our 17.5 parts) by 80 (our total amount), and then we divide that by 100.

Step 4: 1400 / 100

The previous step gave us 1400. 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 80. That's why we divide 1400 by 100.

Step 5: 14

Finally, after dividing 1400 by 100, we arrive at the answer: 14. Hence, we can definitively say that 17.5% of 80 equals 14.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 17.5% of 80?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.