What is 75 Percent of 120?

What is 75 percent of 120?

Answer: 75 percent of 120 is 90. Alternatively, we can say that 90 is equivalent to 75% of 120.

Solution for What is 75 percent of 120:

n = 75 percent of 120

n = 75 % * 120

n = \frac{75}{100} * 120

n = \frac{75 * 120}{100}

n = \frac{9000}{100}

n = 90

Now we have 75% of 120 = 90. Alternatively, we can express it as 75 percent of 120 equals 90.

The step-by-step process for finding what is 75 percent of 120:

The mathematical calculation of 75% of 120 can be broken down as follows:

75 percent * 120
Convert this into an equation: (75 / 100) * 120
Simplify the equation further: (75 * 120) / 100
Carry out the calculation: 9000 / 100
The final answer is: 90

Thus, we conclude that 75% of 120 is 90.

Explanation for What is 75% of 120:

Step 1: **75 percent * 120**

Think of percent as parts out of 100. So, when we say 75 percent, it's like having 75 parts out of a total of 100. What we want to do now is find out what those 75 parts would be if our total was 120 instead of 100.

Step 2: **(75 / 100) * 120**

This is like dividing our 75 parts into 100. It's as if we have 100 pieces of candy and we only want 75 of those pieces. That gives us 0.75 or 75 hundredths. Now we multiply those 75 parts (or 0.75) by 120 to find out what 75% of 120 would be.

Step 3: **(75 * 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 75 (our 75 parts) by 120 (our total amount), and then we divide that by 100.

Step 4: 9000 / 100

The previous step gave us 9000. 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 9000 by 100.

Step 5: 90

Finally, after dividing 9000 by 100, we arrive at the answer: 90. Hence, we can definitively say that 75% of 120 equals 90.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 75% 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.