15.7 is what percent of 28.6 - 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 28.6 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 100% equals 28.6, so we can write it down as 100%=28.6.
4. We know, that x% equals 15.7 of the output value, so we can write it down as x%=15.7.
5. Now we have two simple equations:
1) 100%=28.6
2) x%=15.7
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:
100%/x%=28.6/15.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.7 is what percent of 28.6

100%/x%=28.6/15.7
(100/x)*x=(28.6/15.7)*x       - we multiply both sides of the equation by x
100=1.8216560509554*x       - we divide both sides of the equation by (1.8216560509554) to get x
100/1.8216560509554=x
54.895104895105=x
x=54.895104895105

now we have:
15.7 is 54.895104895105% of 28.6