What is 45 Percent of 90?

What is 45 percent of 90?

Answer: 45 percent of 90 is 40.5. Alternatively, we can say that 40.5 is equivalent to 45% of 90.

Solution for What is 45 percent of 90:

n = 45 percent of 90

n = 45 % * 90

n = \frac{45}{100} * 90

n = \frac{45 * 90}{100}

n = \frac{4050}{100}

n = 40.5

Now we have 45% of 90 = 40.5. Alternatively, we can express it as 45 percent of 90 equals 40.5.

The step-by-step process for finding what is 45 percent of 90:

The mathematical calculation of 45% of 90 can be broken down as follows:

45 percent * 90
Convert this into an equation: (45 / 100) * 90
Simplify the equation further: (45 * 90) / 100
Carry out the calculation: 4050 / 100
The final answer is: 40.5

Thus, we conclude that 45% of 90 is 40.5.

Explanation for What is 45% of 90:

Step 1: **45 percent * 90**

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 90 instead of 100.

Step 2: **(45 / 100) * 90**

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 90 to find out what 45% of 90 would be.

Step 3: **(45 * 90) / 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 90 (our total amount), and then we divide that by 100.

Step 4: 4050 / 100

The previous step gave us 4050. 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 90. That's why we divide 4050 by 100.

Step 5: 40.5

Finally, after dividing 4050 by 100, we arrive at the answer: 40.5. Hence, we can definitively say that 45% of 90 equals 40.5.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 45% of 90?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.