What is 75 Percent of 400?

What is 75 percent of 400?

Answer: 75 percent of 400 is 300. Alternatively, we can say that 300 is equivalent to 75% of 400.

Solution for What is 75 percent of 400:

n = 75 percent of 400

n = 75 % * 400

n = \frac{75}{100} * 400

n = \frac{75 * 400}{100}

n = \frac{30000}{100}

n = 300

Now we have 75% of 400 = 300. Alternatively, we can express it as 75 percent of 400 equals 300.

The step-by-step process for finding what is 75 percent of 400:

The mathematical calculation of 75% of 400 can be broken down as follows:

75 percent * 400
Convert this into an equation: (75 / 100) * 400
Simplify the equation further: (75 * 400) / 100
Carry out the calculation: 30000 / 100
The final answer is: 300

Thus, we conclude that 75% of 400 is 300.

Explanation for What is 75% of 400:

Step 1: **75 percent * 400**

Think of percent as parts out of 100. So, when we say 75 percent, it's like having 75 parts out of a total of 100. What we want to do now is find out what those 75 parts would be if our total was 400 instead of 100.

Step 2: **(75 / 100) * 400**

This is like dividing our 75 parts into 100. It's as if we have 100 pieces of candy and we only want 75 of those pieces. That gives us 0.75 or 75 hundredths. Now we multiply those 75 parts (or 0.75) by 400 to find out what 75% of 400 would be.

Step 3: **(75 * 400) / 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 75 (our 75 parts) by 400 (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 400. 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 75% of 400 equals 300.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 75% of 400?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.