What is 490 Percent of 0.2?

What is 490 percent of 0.2?

Answer: 490 percent of 0.2 is 0.98. Alternatively, we can say that 0.98 is equivalent to 490% of 0.2.

Solution for What is 490 percent of 0.2:

n = 490 percent of 0.2

n = 490 % * 0.2

n = \frac{490}{100} * 0.2

n = \frac{490 * 0.2}{100}

n = \frac{98}{100}

n = 0.98

Now we have 490% of 0.2 = 0.98. Alternatively, we can express it as 490 percent of 0.2 equals 0.98.

The step-by-step process for finding what is 490 percent of 0.2:

The mathematical calculation of 490% of 0.2 can be broken down as follows:

490 percent * 0.2
Convert this into an equation: (490 / 100) * 0.2
Simplify the equation further: (490 * 0.2) / 100
Carry out the calculation: 98 / 100
The final answer is: 0.98

Thus, we conclude that 490% of 0.2 is 0.98.

Explanation for What is 490% of 0.2:

Step 1: **490 percent * 0.2**

Think of percent as parts out of 100. So, when we say 490 percent, it's like having 490 parts out of a total of 100. What we want to do now is find out what those 490 parts would be if our total was 0.2 instead of 100.

Step 2: **(490 / 100) * 0.2**

This is like dividing our 490 parts into 100. It's as if we have 100 pieces of candy and we only want 490 of those pieces. That gives us 0.490 or 490 hundredths. Now we multiply those 490 parts (or 0.490) by 0.2 to find out what 490% of 0.2 would be.

Step 3: **(490 * 0.2) / 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 490 (our 490 parts) by 0.2 (our total amount), and then we divide that by 100.

Step 4: 98 / 100

The previous step gave us 98. 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 0.2. That's why we divide 98 by 100.

Step 5: 0.98

Finally, after dividing 98 by 100, we arrive at the answer: 0.98. Hence, we can definitively say that 490% of 0.2 equals 0.98.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 490% of 0.2?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.