What is 60 Percent of 75?

What is 60 percent of 75?

Answer: 60 percent of 75 is 45. Alternatively, we can say that 45 is equivalent to 60% of 75.

Solution for What is 60 percent of 75:

n = 60 percent of 75

n = 60 % * 75

n = \frac{60}{100} * 75

n = \frac{60 * 75}{100}

n = \frac{4500}{100}

n = 45

Now we have 60% of 75 = 45. Alternatively, we can express it as 60 percent of 75 equals 45.

The step-by-step process for finding what is 60 percent of 75:

The mathematical calculation of 60% of 75 can be broken down as follows:

60 percent * 75
Convert this into an equation: (60 / 100) * 75
Simplify the equation further: (60 * 75) / 100
Carry out the calculation: 4500 / 100
The final answer is: 45

Thus, we conclude that 60% of 75 is 45.

Explanation for What is 60% of 75:

Step 1: **60 percent * 75**

Think of percent as parts out of 100. So, when we say 60 percent, it's like having 60 parts out of a total of 100. What we want to do now is find out what those 60 parts would be if our total was 75 instead of 100.

Step 2: **(60 / 100) * 75**

This is like dividing our 60 parts into 100. It's as if we have 100 pieces of candy and we only want 60 of those pieces. That gives us 0.60 or 60 hundredths. Now we multiply those 60 parts (or 0.60) by 75 to find out what 60% of 75 would be.

Step 3: **(60 * 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 60 (our 60 parts) by 75 (our total amount), and then we divide that by 100.

Step 4: 4500 / 100

The previous step gave us 4500. 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 4500 by 100.

Step 5: 45

Finally, after dividing 4500 by 100, we arrive at the answer: 45. Hence, we can definitively say that 60% of 75 equals 45.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 60% 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.