What is 40 Percent of 75?

What is 40 percent of 75?

Answer: 40 percent of 75 is 30. Alternatively, we can say that 30 is equivalent to 40% of 75.

Solution for What is 40 percent of 75:

n = 40 percent of 75

n = 40 % * 75

n = \frac{40}{100} * 75

n = \frac{40 * 75}{100}

n = \frac{3000}{100}

n = 30

Now we have 40% of 75 = 30. Alternatively, we can express it as 40 percent of 75 equals 30.

The step-by-step process for finding what is 40 percent of 75:

The mathematical calculation of 40% of 75 can be broken down as follows:

40 percent * 75
Convert this into an equation: (40 / 100) * 75
Simplify the equation further: (40 * 75) / 100
Carry out the calculation: 3000 / 100
The final answer is: 30

Thus, we conclude that 40% of 75 is 30.

Explanation for What is 40% of 75:

Step 1: **40 percent * 75**

Think of percent as parts out of 100. So, when we say 40 percent, it's like having 40 parts out of a total of 100. What we want to do now is find out what those 40 parts would be if our total was 75 instead of 100.

Step 2: **(40 / 100) * 75**

This is like dividing our 40 parts into 100. It's as if we have 100 pieces of candy and we only want 40 of those pieces. That gives us 0.40 or 40 hundredths. Now we multiply those 40 parts (or 0.40) by 75 to find out what 40% of 75 would be.

Step 3: **(40 * 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 40 (our 40 parts) by 75 (our total amount), and then we divide that by 100.

Step 4: 3000 / 100

The previous step gave us 3000. 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 3000 by 100.

Step 5: 30

Finally, after dividing 3000 by 100, we arrive at the answer: 30. Hence, we can definitively say that 40% of 75 equals 30.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 40% 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.