What is 7.5 Percent of 300?

What is 7.5 percent of 300?

Answer: 7.5 percent of 300 is 22.5. Alternatively, we can say that 22.5 is equivalent to 7.5% of 300.

Solution for What is 7.5 percent of 300:

n = 7.5 percent of 300

n = 7.5 % * 300

n = \frac{7.5}{100} * 300

n = \frac{7.5 * 300}{100}

n = \frac{2250}{100}

n = 22.5

Now we have 7.5% of 300 = 22.5. Alternatively, we can express it as 7.5 percent of 300 equals 22.5.

The step-by-step process for finding what is 7.5 percent of 300:

The mathematical calculation of 7.5% of 300 can be broken down as follows:

7.5 percent * 300
Convert this into an equation: (7.5 / 100) * 300
Simplify the equation further: (7.5 * 300) / 100
Carry out the calculation: 2250 / 100
The final answer is: 22.5

Thus, we conclude that 7.5% of 300 is 22.5.

Explanation for What is 7.5% of 300:

Step 1: **7.5 percent * 300**

Think of percent as parts out of 100. So, when we say 7.5 percent, it's like having 7.5 parts out of a total of 100. What we want to do now is find out what those 7.5 parts would be if our total was 300 instead of 100.

Step 2: **(7.5 / 100) * 300**

This is like dividing our 7.5 parts into 100. It's as if we have 100 pieces of candy and we only want 7.5 of those pieces. That gives us 0.7.5 or 7.5 hundredths. Now we multiply those 7.5 parts (or 0.7.5) by 300 to find out what 7.5% of 300 would be.

Step 3: **(7.5 * 300) / 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 7.5 (our 7.5 parts) by 300 (our total amount), and then we divide that by 100.

Step 4: 2250 / 100

The previous step gave us 2250. 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 300. That's why we divide 2250 by 100.

Step 5: 22.5

Finally, after dividing 2250 by 100, we arrive at the answer: 22.5. Hence, we can definitively say that 7.5% of 300 equals 22.5.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 7.5% of 300?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.