What is 15 Percent of 523?

What is 15 percent of 523?

Answer: 15 percent of 523 is 78.45. Alternatively, we can say that 78.45 is equivalent to 15% of 523.

Solution for What is 15 percent of 523:

n = 15 percent of 523

n = 15 % * 523

n = \frac{15}{100} * 523

n = \frac{15 * 523}{100}

n = \frac{7845}{100}

n = 78.45

Now we have 15% of 523 = 78.45. Alternatively, we can express it as 15 percent of 523 equals 78.45.

The step-by-step process for finding what is 15 percent of 523:

The mathematical calculation of 15% of 523 can be broken down as follows:

15 percent * 523
Convert this into an equation: (15 / 100) * 523
Simplify the equation further: (15 * 523) / 100
Carry out the calculation: 7845 / 100
The final answer is: 78.45

Thus, we conclude that 15% of 523 is 78.45.

Explanation for What is 15% of 523:

Step 1: **15 percent * 523**

Think of percent as parts out of 100. So, when we say 15 percent, it's like having 15 parts out of a total of 100. What we want to do now is find out what those 15 parts would be if our total was 523 instead of 100.

Step 2: **(15 / 100) * 523**

This is like dividing our 15 parts into 100. It's as if we have 100 pieces of candy and we only want 15 of those pieces. That gives us 0.15 or 15 hundredths. Now we multiply those 15 parts (or 0.15) by 523 to find out what 15% of 523 would be.

Step 3: **(15 * 523) / 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 15 (our 15 parts) by 523 (our total amount), and then we divide that by 100.

Step 4: 7845 / 100

The previous step gave us 7845. 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 523. That's why we divide 7845 by 100.

Step 5: 78.45

Finally, after dividing 7845 by 100, we arrive at the answer: 78.45. Hence, we can definitively say that 15% of 523 equals 78.45.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 15% of 523?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.