What is 120 Percent of 30?

What is 120 percent of 30?

Answer: 120 percent of 30 is 36. Alternatively, we can say that 36 is equivalent to 120% of 30.

Solution for What is 120 percent of 30:

n = 120 percent of 30

n = 120 % * 30

n = \frac{120}{100} * 30

n = \frac{120 * 30}{100}

n = \frac{3600}{100}

n = 36

Now we have 120% of 30 = 36. Alternatively, we can express it as 120 percent of 30 equals 36.

The step-by-step process for finding what is 120 percent of 30:

The mathematical calculation of 120% of 30 can be broken down as follows:

120 percent * 30
Convert this into an equation: (120 / 100) * 30
Simplify the equation further: (120 * 30) / 100
Carry out the calculation: 3600 / 100
The final answer is: 36

Thus, we conclude that 120% of 30 is 36.

Explanation for What is 120% of 30:

Step 1: **120 percent * 30**

Think of percent as parts out of 100. So, when we say 120 percent, it's like having 120 parts out of a total of 100. What we want to do now is find out what those 120 parts would be if our total was 30 instead of 100.

Step 2: **(120 / 100) * 30**

This is like dividing our 120 parts into 100. It's as if we have 100 pieces of candy and we only want 120 of those pieces. That gives us 0.120 or 120 hundredths. Now we multiply those 120 parts (or 0.120) by 30 to find out what 120% of 30 would be.

Step 3: **(120 * 30) / 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 120 (our 120 parts) by 30 (our total amount), and then we divide that by 100.

Step 4: 3600 / 100

The previous step gave us 3600. 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 30. That's why we divide 3600 by 100.

Step 5: 36

Finally, after dividing 3600 by 100, we arrive at the answer: 36. Hence, we can definitively say that 120% of 30 equals 36.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 120% of 30?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.