88.34 is what percent of 104.15 - 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 104.15 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 104.15, so we can write it down as 100%=104.15.
4. We know, that x% equals 88.34 of the output value, so we can write it down as x%=88.34.
5. Now we have two simple equations:
1) 100%=104.15
2) x%=88.34
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%=104.15/88.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.34 is what percent of 104.15

100%/x%=104.15/88.34
(100/x)*x=(104.15/88.34)*x       - we multiply both sides of the equation by x
100=1.1789676250849*x       - we divide both sides of the equation by (1.1789676250849) to get x
100/1.1789676250849=x
84.819971195391=x
x=84.819971195391

now we have:
88.34 is 84.819971195391% of 104.15