85.8 is what percent of 104.89 - 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 104.89 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 104.89, so we can write it down as 100%=104.89.
4. We know, that x% equals 85.8 of the output value, so we can write it down as x%=85.8.
5. Now we have two simple equations:
1) 100%=104.89
2) x%=85.8
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%=104.89/85.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.8 is what percent of 104.89

100%/x%=104.89/85.8
(100/x)*x=(104.89/85.8)*x       - we multiply both sides of the equation by x
100=1.2224941724942*x       - we divide both sides of the equation by (1.2224941724942) to get x
100/1.2224941724942=x
81.799980932405=x
x=81.799980932405

now we have:
85.8 is 81.799980932405% of 104.89