15.7 is what percent of 109.78 - 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 109.78 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 109.78, so we can write it down as 100%=109.78.
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%=109.78
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%=109.78/15.7
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 109.78

100%/x%=109.78/15.7
(100/x)*x=(109.78/15.7)*x       - we multiply both sides of the equation by x
100=6.9923566878981*x       - we divide both sides of the equation by (6.9923566878981) to get x
100/6.9923566878981=x
14.301329932592=x
x=14.301329932592

now we have:
15.7 is 14.301329932592% of 109.78