What is 7.5 Percent of 4000?

What is 7.5 percent of 4000?

Answer: 7.5 percent of 4000 is 300. Alternatively, we can say that 300 is equivalent to 7.5% of 4000.

Solution for What is 7.5 percent of 4000:

n = 7.5 percent of 4000

n = 7.5 % * 4000

n = \frac{7.5}{100} * 4000

n = \frac{7.5 * 4000}{100}

n = \frac{30000}{100}

n = 300

Now we have 7.5% of 4000 = 300. Alternatively, we can express it as 7.5 percent of 4000 equals 300.

The step-by-step process for finding what is 7.5 percent of 4000:

The mathematical calculation of 7.5% of 4000 can be broken down as follows:

7.5 percent * 4000
Convert this into an equation: (7.5 / 100) * 4000
Simplify the equation further: (7.5 * 4000) / 100
Carry out the calculation: 30000 / 100
The final answer is: 300

Thus, we conclude that 7.5% of 4000 is 300.

Explanation for What is 7.5% of 4000:

Step 1: **7.5 percent * 4000**

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 4000 instead of 100.

Step 2: **(7.5 / 100) * 4000**

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 4000 to find out what 7.5% of 4000 would be.

Step 3: **(7.5 * 4000) / 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 4000 (our total amount), and then we divide that by 100.

Step 4: 30000 / 100

The previous step gave us 30000. 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 4000. That's why we divide 30000 by 100.

Step 5: 300

Finally, after dividing 30000 by 100, we arrive at the answer: 300. Hence, we can definitively say that 7.5% of 4000 equals 300.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 7.5% of 4000?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.