What is 90 Percent of 75?

What is 90 percent of 75?

Answer: 90 percent of 75 is 67.5. Alternatively, we can say that 67.5 is equivalent to 90% of 75.

Solution for What is 90 percent of 75:

n = 90 percent of 75

n = 90 % * 75

n = \frac{90}{100} * 75

n = \frac{90 * 75}{100}

n = \frac{6750}{100}

n = 67.5

Now we have 90% of 75 = 67.5. Alternatively, we can express it as 90 percent of 75 equals 67.5.

The step-by-step process for finding what is 90 percent of 75:

The mathematical calculation of 90% of 75 can be broken down as follows:

90 percent * 75
Convert this into an equation: (90 / 100) * 75
Simplify the equation further: (90 * 75) / 100
Carry out the calculation: 6750 / 100
The final answer is: 67.5

Thus, we conclude that 90% of 75 is 67.5.

Explanation for What is 90% of 75:

Step 1: **90 percent * 75**

Think of percent as parts out of 100. So, when we say 90 percent, it's like having 90 parts out of a total of 100. What we want to do now is find out what those 90 parts would be if our total was 75 instead of 100.

Step 2: **(90 / 100) * 75**

This is like dividing our 90 parts into 100. It's as if we have 100 pieces of candy and we only want 90 of those pieces. That gives us 0.90 or 90 hundredths. Now we multiply those 90 parts (or 0.90) by 75 to find out what 90% of 75 would be.

Step 3: **(90 * 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 90 (our 90 parts) by 75 (our total amount), and then we divide that by 100.

Step 4: 6750 / 100

The previous step gave us 6750. 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 6750 by 100.

Step 5: 67.5

Finally, after dividing 6750 by 100, we arrive at the answer: 67.5. Hence, we can definitively say that 90% of 75 equals 67.5.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 90% 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.