What is 14.28 percent of 0.488 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 0.488 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 0.488 is 100%, so we can write it down as 0.488=100%.
4. We know, that x is 14.28% of the output value, so we can write it down as x=14.28%.
5. Now we have two simple equations:
1) 0.488=100%
2) x=14.28%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
0.488/x=100%/14.28%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 14.28% of 0.488

0.488/x=100/14.28
(0.488/x)*x=(100/14.28)*x       - we multiply both sides of the equation by x
0.488=7.0028011204482*x       - we divide both sides of the equation by (7.0028011204482) to get x
0.488/7.0028011204482=x
0.0696864=x
x=0.0696864

now we have:
14.28% of 0.488=0.0696864