What is 26 Percent of 45?

What is 26 percent of 45?

Answer: 26 percent of 45 is 11.7. Alternatively, we can say that 11.7 is equivalent to 26% of 45.

Solution for What is 26 percent of 45:

n = 26 percent of 45

n = 26 % * 45

n = \frac{26}{100} * 45

n = \frac{26 * 45}{100}

n = \frac{1170}{100}

n = 11.7

Now we have 26% of 45 = 11.7. Alternatively, we can express it as 26 percent of 45 equals 11.7.

The step-by-step process for finding what is 26 percent of 45:

The mathematical calculation of 26% of 45 can be broken down as follows:

26 percent * 45
Convert this into an equation: (26 / 100) * 45
Simplify the equation further: (26 * 45) / 100
Carry out the calculation: 1170 / 100
The final answer is: 11.7

Thus, we conclude that 26% of 45 is 11.7.

Explanation for What is 26% of 45:

Step 1: **26 percent * 45**

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 45 instead of 100.

Step 2: **(26 / 100) * 45**

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 45 to find out what 26% of 45 would be.

Step 3: **(26 * 45) / 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 45 (our total amount), and then we divide that by 100.

Step 4: 1170 / 100

The previous step gave us 1170. 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 45. That's why we divide 1170 by 100.

Step 5: 11.7

Finally, after dividing 1170 by 100, we arrive at the answer: 11.7. Hence, we can definitively say that 26% of 45 equals 11.7.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 26% of 45?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.