What is 46 Percent of 38?

What is 46 percent of 38?

Answer: 46 percent of 38 is 17.48. Alternatively, we can say that 17.48 is equivalent to 46% of 38.

Solution for What is 46 percent of 38:

n = 46 percent of 38

n = 46 % * 38

n = \frac{46}{100} * 38

n = \frac{46 * 38}{100}

n = \frac{1748}{100}

n = 17.48

Now we have 46% of 38 = 17.48. Alternatively, we can express it as 46 percent of 38 equals 17.48.

The step-by-step process for finding what is 46 percent of 38:

The mathematical calculation of 46% of 38 can be broken down as follows:

46 percent * 38
Convert this into an equation: (46 / 100) * 38
Simplify the equation further: (46 * 38) / 100
Carry out the calculation: 1748 / 100
The final answer is: 17.48

Thus, we conclude that 46% of 38 is 17.48.

Explanation for What is 46% of 38:

Step 1: **46 percent * 38**

Think of percent as parts out of 100. So, when we say 46 percent, it's like having 46 parts out of a total of 100. What we want to do now is find out what those 46 parts would be if our total was 38 instead of 100.

Step 2: **(46 / 100) * 38**

This is like dividing our 46 parts into 100. It's as if we have 100 pieces of candy and we only want 46 of those pieces. That gives us 0.46 or 46 hundredths. Now we multiply those 46 parts (or 0.46) by 38 to find out what 46% of 38 would be.

Step 3: **(46 * 38) / 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 46 (our 46 parts) by 38 (our total amount), and then we divide that by 100.

Step 4: 1748 / 100

The previous step gave us 1748. 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 38. That's why we divide 1748 by 100.

Step 5: 17.48

Finally, after dividing 1748 by 100, we arrive at the answer: 17.48. Hence, we can definitively say that 46% of 38 equals 17.48.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 46% of 38?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.