What is 62.5 Percent of 120?

What is 62.5 percent of 120?

Answer: 62.5 percent of 120 is 75. Alternatively, we can say that 75 is equivalent to 62.5% of 120.

Solution for What is 62.5 percent of 120:

n = 62.5 percent of 120

n = 62.5 % * 120

n = \frac{62.5}{100} * 120

n = \frac{62.5 * 120}{100}

n = \frac{7500}{100}

n = 75

Now we have 62.5% of 120 = 75. Alternatively, we can express it as 62.5 percent of 120 equals 75.

The step-by-step process for finding what is 62.5 percent of 120:

The mathematical calculation of 62.5% of 120 can be broken down as follows:

62.5 percent * 120
Convert this into an equation: (62.5 / 100) * 120
Simplify the equation further: (62.5 * 120) / 100
Carry out the calculation: 7500 / 100
The final answer is: 75

Thus, we conclude that 62.5% of 120 is 75.

Explanation for What is 62.5% of 120:

Step 1: **62.5 percent * 120**

Think of percent as parts out of 100. So, when we say 62.5 percent, it's like having 62.5 parts out of a total of 100. What we want to do now is find out what those 62.5 parts would be if our total was 120 instead of 100.

Step 2: **(62.5 / 100) * 120**

This is like dividing our 62.5 parts into 100. It's as if we have 100 pieces of candy and we only want 62.5 of those pieces. That gives us 0.62.5 or 62.5 hundredths. Now we multiply those 62.5 parts (or 0.62.5) by 120 to find out what 62.5% of 120 would be.

Step 3: **(62.5 * 120) / 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 62.5 (our 62.5 parts) by 120 (our total amount), and then we divide that by 100.

Step 4: 7500 / 100

The previous step gave us 7500. 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 120. That's why we divide 7500 by 100.

Step 5: 75

Finally, after dividing 7500 by 100, we arrive at the answer: 75. Hence, we can definitively say that 62.5% of 120 equals 75.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 62.5% of 120?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.