What is 110 Percent of 75?

What is 110 percent of 75?

Answer: 110 percent of 75 is 82.5. Alternatively, we can say that 82.5 is equivalent to 110% of 75.

Solution for What is 110 percent of 75:

n = 110 percent of 75

n = 110 % * 75

n = \frac{110}{100} * 75

n = \frac{110 * 75}{100}

n = \frac{8250}{100}

n = 82.5

Now we have 110% of 75 = 82.5. Alternatively, we can express it as 110 percent of 75 equals 82.5.

The step-by-step process for finding what is 110 percent of 75:

The mathematical calculation of 110% of 75 can be broken down as follows:

110 percent * 75
Convert this into an equation: (110 / 100) * 75
Simplify the equation further: (110 * 75) / 100
Carry out the calculation: 8250 / 100
The final answer is: 82.5

Thus, we conclude that 110% of 75 is 82.5.

Explanation for What is 110% of 75:

Step 1: **110 percent * 75**

Think of percent as parts out of 100. So, when we say 110 percent, it's like having 110 parts out of a total of 100. What we want to do now is find out what those 110 parts would be if our total was 75 instead of 100.

Step 2: **(110 / 100) * 75**

This is like dividing our 110 parts into 100. It's as if we have 100 pieces of candy and we only want 110 of those pieces. That gives us 0.110 or 110 hundredths. Now we multiply those 110 parts (or 0.110) by 75 to find out what 110% of 75 would be.

Step 3: **(110 * 75) / 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 110 (our 110 parts) by 75 (our total amount), and then we divide that by 100.

Step 4: 8250 / 100

The previous step gave us 8250. 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 75. That's why we divide 8250 by 100.

Step 5: 82.5

Finally, after dividing 8250 by 100, we arrive at the answer: 82.5. Hence, we can definitively say that 110% of 75 equals 82.5.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 110% of 75?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.