18.73 is what percent of 20.15 - 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 20.15 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 20.15, so we can write it down as 100%=20.15.
4. We know, that x% equals 18.73 of the output value, so we can write it down as x%=18.73.
5. Now we have two simple equations:
1) 100%=20.15
2) x%=18.73
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%=20.15/18.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.73 is what percent of 20.15

100%/x%=20.15/18.73
(100/x)*x=(20.15/18.73)*x       - we multiply both sides of the equation by x
100=1.0758142018153*x       - we divide both sides of the equation by (1.0758142018153) to get x
100/1.0758142018153=x
92.952853598015=x
x=92.952853598015

now we have:
18.73 is 92.952853598015% of 20.15