What is 85 Percent of 120?

What is 85 percent of 120?

Answer: 85 percent of 120 is 102. Alternatively, we can say that 102 is equivalent to 85% of 120.

Solution for What is 85 percent of 120:

n = 85 percent of 120

n = 85 % * 120

n = \frac{85}{100} * 120

n = \frac{85 * 120}{100}

n = \frac{10200}{100}

n = 102

Now we have 85% of 120 = 102. Alternatively, we can express it as 85 percent of 120 equals 102.

The step-by-step process for finding what is 85 percent of 120:

The mathematical calculation of 85% of 120 can be broken down as follows:

85 percent * 120
Convert this into an equation: (85 / 100) * 120
Simplify the equation further: (85 * 120) / 100
Carry out the calculation: 10200 / 100
The final answer is: 102

Thus, we conclude that 85% of 120 is 102.

Explanation for What is 85% of 120:

Step 1: **85 percent * 120**

Think of percent as parts out of 100. So, when we say 85 percent, it's like having 85 parts out of a total of 100. What we want to do now is find out what those 85 parts would be if our total was 120 instead of 100.

Step 2: **(85 / 100) * 120**

This is like dividing our 85 parts into 100. It's as if we have 100 pieces of candy and we only want 85 of those pieces. That gives us 0.85 or 85 hundredths. Now we multiply those 85 parts (or 0.85) by 120 to find out what 85% of 120 would be.

Step 3: **(85 * 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 85 (our 85 parts) by 120 (our total amount), and then we divide that by 100.

Step 4: 10200 / 100

The previous step gave us 10200. 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 10200 by 100.

Step 5: 102

Finally, after dividing 10200 by 100, we arrive at the answer: 102. Hence, we can definitively say that 85% of 120 equals 102.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 85% 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.