What is 45 Percent of 400?

What is 45 percent of 400?

Answer: 45 percent of 400 is 180. Alternatively, we can say that 180 is equivalent to 45% of 400.

Solution for What is 45 percent of 400:

n = 45 percent of 400

n = 45 % * 400

n = \frac{45}{100} * 400

n = \frac{45 * 400}{100}

n = \frac{18000}{100}

n = 180

Now we have 45% of 400 = 180. Alternatively, we can express it as 45 percent of 400 equals 180.

The step-by-step process for finding what is 45 percent of 400:

The mathematical calculation of 45% of 400 can be broken down as follows:

45 percent * 400
Convert this into an equation: (45 / 100) * 400
Simplify the equation further: (45 * 400) / 100
Carry out the calculation: 18000 / 100
The final answer is: 180

Thus, we conclude that 45% of 400 is 180.

Explanation for What is 45% of 400:

Step 1: **45 percent * 400**

Think of percent as parts out of 100. So, when we say 45 percent, it's like having 45 parts out of a total of 100. What we want to do now is find out what those 45 parts would be if our total was 400 instead of 100.

Step 2: **(45 / 100) * 400**

This is like dividing our 45 parts into 100. It's as if we have 100 pieces of candy and we only want 45 of those pieces. That gives us 0.45 or 45 hundredths. Now we multiply those 45 parts (or 0.45) by 400 to find out what 45% of 400 would be.

Step 3: **(45 * 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 45 (our 45 parts) by 400 (our total amount), and then we divide that by 100.

Step 4: 18000 / 100

The previous step gave us 18000. 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 18000 by 100.

Step 5: 180

Finally, after dividing 18000 by 100, we arrive at the answer: 180. Hence, we can definitively say that 45% of 400 equals 180.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 45% 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.