What is 4 Percent of 5200?

What is 4 percent of 5200?

Answer: 4 percent of 5200 is 208. Alternatively, we can say that 208 is equivalent to 4% of 5200.

Solution for What is 4 percent of 5200:

n = 4 percent of 5200

n = 4 % * 5200

n = \frac{4}{100} * 5200

n = \frac{4 * 5200}{100}

n = \frac{20800}{100}

n = 208

Now we have 4% of 5200 = 208. Alternatively, we can express it as 4 percent of 5200 equals 208.

The step-by-step process for finding what is 4 percent of 5200:

The mathematical calculation of 4% of 5200 can be broken down as follows:

4 percent * 5200
Convert this into an equation: (4 / 100) * 5200
Simplify the equation further: (4 * 5200) / 100
Carry out the calculation: 20800 / 100
The final answer is: 208

Thus, we conclude that 4% of 5200 is 208.

Explanation for What is 4% of 5200:

Step 1: **4 percent * 5200**

Think of percent as parts out of 100. So, when we say 4 percent, it's like having 4 parts out of a total of 100. What we want to do now is find out what those 4 parts would be if our total was 5200 instead of 100.

Step 2: **(4 / 100) * 5200**

This is like dividing our 4 parts into 100. It's as if we have 100 pieces of candy and we only want 4 of those pieces. That gives us 0.4 or 4 hundredths. Now we multiply those 4 parts (or 0.4) by 5200 to find out what 4% of 5200 would be.

Step 3: **(4 * 5200) / 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 4 (our 4 parts) by 5200 (our total amount), and then we divide that by 100.

Step 4: 20800 / 100

The previous step gave us 20800. 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 5200. That's why we divide 20800 by 100.

Step 5: 208

Finally, after dividing 20800 by 100, we arrive at the answer: 208. Hence, we can definitively say that 4% of 5200 equals 208.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 4% of 5200?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.