20.51 is what percent of 17.51 - 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 17.51 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 17.51, so we can write it down as 100%=17.51.
4. We know, that x% equals 20.51 of the output value, so we can write it down as x%=20.51.
5. Now we have two simple equations:
1) 100%=17.51
2) x%=20.51
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%=17.51/20.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.51 is what percent of 17.51

100%/x%=17.51/20.51
(100/x)*x=(17.51/20.51)*x       - we multiply both sides of the equation by x
100=0.85372988785958*x       - we divide both sides of the equation by (0.85372988785958) to get x
100/0.85372988785958=x
117.13306681896=x
x=117.13306681896

now we have:
20.51 is 117.13306681896% of 17.51