What is 14.2857142857 percent of 15.2 - 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 15.2 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 15.2 is 100%, so we can write it down as 15.2=100%.
4. We know, that x is 14.2857142857% of the output value, so we can write it down as x=14.2857142857%.
5. Now we have two simple equations:
1) 15.2=100%
2) x=14.2857142857%
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:
15.2/x=100%/14.2857142857%
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 14.2857142857% of 15.2

15.2/x=100/14.2857142857
(15.2/x)*x=(100/14.2857142857)*x       - we multiply both sides of the equation by x
15.2=7.000000000007*x       - we divide both sides of the equation by (7.000000000007) to get x
15.2/7.000000000007=x
2.1714285714264=x
x=2.1714285714264

now we have:
14.2857142857% of 15.2=2.1714285714264