20.14 is what percent of 17 - 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 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, so we can write it down as 100%=17.
4. We know, that x% equals 20.14 of the output value, so we can write it down as x%=20.14.
5. Now we have two simple equations:
1) 100%=17
2) x%=20.14
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%=17/20.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.14 is what percent of 17

100%/x%=17/20.14
(100/x)*x=(17/20.14)*x       - we multiply both sides of the equation by x
100=0.844091360477*x       - we divide both sides of the equation by (0.844091360477) to get x
100/0.844091360477=x
118.470588235=x
x=118.470588235

now we have:
20.14 is 118.470588235% of 17