What is 12.5 Percent of 3400?

What is 12.5 percent of 3400?

Answer: 12.5 percent of 3400 is 425. Alternatively, we can say that 425 is equivalent to 12.5% of 3400.

Solution for What is 12.5 percent of 3400:

n = 12.5 percent of 3400

n = 12.5 % * 3400

n = \frac{12.5}{100} * 3400

n = \frac{12.5 * 3400}{100}

n = \frac{42500}{100}

n = 425

Now we have 12.5% of 3400 = 425. Alternatively, we can express it as 12.5 percent of 3400 equals 425.

The step-by-step process for finding what is 12.5 percent of 3400:

The mathematical calculation of 12.5% of 3400 can be broken down as follows:

12.5 percent * 3400
Convert this into an equation: (12.5 / 100) * 3400
Simplify the equation further: (12.5 * 3400) / 100
Carry out the calculation: 42500 / 100
The final answer is: 425

Thus, we conclude that 12.5% of 3400 is 425.

Explanation for What is 12.5% of 3400:

Step 1: **12.5 percent * 3400**

Think of percent as parts out of 100. So, when we say 12.5 percent, it's like having 12.5 parts out of a total of 100. What we want to do now is find out what those 12.5 parts would be if our total was 3400 instead of 100.

Step 2: **(12.5 / 100) * 3400**

This is like dividing our 12.5 parts into 100. It's as if we have 100 pieces of candy and we only want 12.5 of those pieces. That gives us 0.12.5 or 12.5 hundredths. Now we multiply those 12.5 parts (or 0.12.5) by 3400 to find out what 12.5% of 3400 would be.

Step 3: **(12.5 * 3400) / 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 12.5 (our 12.5 parts) by 3400 (our total amount), and then we divide that by 100.

Step 4: 42500 / 100

The previous step gave us 42500. 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 3400. That's why we divide 42500 by 100.

Step 5: 425

Finally, after dividing 42500 by 100, we arrive at the answer: 425. Hence, we can definitively say that 12.5% of 3400 equals 425.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 12.5% of 3400?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.