What is 102 Percent of 245?

What is 102 percent of 245?

Answer: 102 percent of 245 is 249.9. Alternatively, we can say that 249.9 is equivalent to 102% of 245.

Solution for What is 102 percent of 245:

n = 102 percent of 245

n = 102 % * 245

n = \frac{102}{100} * 245

n = \frac{102 * 245}{100}

n = \frac{24990}{100}

n = 249.9

Now we have 102% of 245 = 249.9. Alternatively, we can express it as 102 percent of 245 equals 249.9.

The step-by-step process for finding what is 102 percent of 245:

The mathematical calculation of 102% of 245 can be broken down as follows:

102 percent * 245
Convert this into an equation: (102 / 100) * 245
Simplify the equation further: (102 * 245) / 100
Carry out the calculation: 24990 / 100
The final answer is: 249.9

Thus, we conclude that 102% of 245 is 249.9.

Explanation for What is 102% of 245:

Step 1: **102 percent * 245**

Think of percent as parts out of 100. So, when we say 102 percent, it's like having 102 parts out of a total of 100. What we want to do now is find out what those 102 parts would be if our total was 245 instead of 100.

Step 2: **(102 / 100) * 245**

This is like dividing our 102 parts into 100. It's as if we have 100 pieces of candy and we only want 102 of those pieces. That gives us 0.102 or 102 hundredths. Now we multiply those 102 parts (or 0.102) by 245 to find out what 102% of 245 would be.

Step 3: **(102 * 245) / 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 102 (our 102 parts) by 245 (our total amount), and then we divide that by 100.

Step 4: 24990 / 100

The previous step gave us 24990. 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 245. That's why we divide 24990 by 100.

Step 5: 249.9

Finally, after dividing 24990 by 100, we arrive at the answer: 249.9. Hence, we can definitively say that 102% of 245 equals 249.9.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 102% of 245?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.