What is 26 Percent of 120?

What is 26 percent of 120?

Answer: 26 percent of 120 is 31.2. Alternatively, we can say that 31.2 is equivalent to 26% of 120.

Solution for What is 26 percent of 120:

n = 26 percent of 120

n = 26 % * 120

n = \frac{26}{100} * 120

n = \frac{26 * 120}{100}

n = \frac{3120}{100}

n = 31.2

Now we have 26% of 120 = 31.2. Alternatively, we can express it as 26 percent of 120 equals 31.2.

The step-by-step process for finding what is 26 percent of 120:

The mathematical calculation of 26% of 120 can be broken down as follows:

26 percent * 120
Convert this into an equation: (26 / 100) * 120
Simplify the equation further: (26 * 120) / 100
Carry out the calculation: 3120 / 100
The final answer is: 31.2

Thus, we conclude that 26% of 120 is 31.2.

Explanation for What is 26% of 120:

Step 1: **26 percent * 120**

Think of percent as parts out of 100. So, when we say 26 percent, it's like having 26 parts out of a total of 100. What we want to do now is find out what those 26 parts would be if our total was 120 instead of 100.

Step 2: **(26 / 100) * 120**

This is like dividing our 26 parts into 100. It's as if we have 100 pieces of candy and we only want 26 of those pieces. That gives us 0.26 or 26 hundredths. Now we multiply those 26 parts (or 0.26) by 120 to find out what 26% of 120 would be.

Step 3: **(26 * 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 26 (our 26 parts) by 120 (our total amount), and then we divide that by 100.

Step 4: 3120 / 100

The previous step gave us 3120. 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 3120 by 100.

Step 5: 31.2

Finally, after dividing 3120 by 100, we arrive at the answer: 31.2. Hence, we can definitively say that 26% of 120 equals 31.2.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 26% 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.