What is 37.5 Percent of 42?

What is 37.5 percent of 42?

Answer: 37.5 percent of 42 is 15.75. Alternatively, we can say that 15.75 is equivalent to 37.5% of 42.

Solution for What is 37.5 percent of 42:

n = 37.5 percent of 42

n = 37.5 % * 42

n = \frac{37.5}{100} * 42

n = \frac{37.5 * 42}{100}

n = \frac{1575}{100}

n = 15.75

Now we have 37.5% of 42 = 15.75. Alternatively, we can express it as 37.5 percent of 42 equals 15.75.

The step-by-step process for finding what is 37.5 percent of 42:

The mathematical calculation of 37.5% of 42 can be broken down as follows:

37.5 percent * 42
Convert this into an equation: (37.5 / 100) * 42
Simplify the equation further: (37.5 * 42) / 100
Carry out the calculation: 1575 / 100
The final answer is: 15.75

Thus, we conclude that 37.5% of 42 is 15.75.

Explanation for What is 37.5% of 42:

Step 1: **37.5 percent * 42**

Think of percent as parts out of 100. So, when we say 37.5 percent, it's like having 37.5 parts out of a total of 100. What we want to do now is find out what those 37.5 parts would be if our total was 42 instead of 100.

Step 2: **(37.5 / 100) * 42**

This is like dividing our 37.5 parts into 100. It's as if we have 100 pieces of candy and we only want 37.5 of those pieces. That gives us 0.37.5 or 37.5 hundredths. Now we multiply those 37.5 parts (or 0.37.5) by 42 to find out what 37.5% of 42 would be.

Step 3: **(37.5 * 42) / 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 37.5 (our 37.5 parts) by 42 (our total amount), and then we divide that by 100.

Step 4: 1575 / 100

The previous step gave us 1575. 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 42. That's why we divide 1575 by 100.

Step 5: 15.75

Finally, after dividing 1575 by 100, we arrive at the answer: 15.75. Hence, we can definitively say that 37.5% of 42 equals 15.75.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 37.5% of 42?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.