88.26 is what percent of 98.33 - 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 98.33 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 98.33, so we can write it down as 100%=98.33.
4. We know, that x% equals 88.26 of the output value, so we can write it down as x%=88.26.
5. Now we have two simple equations:
1) 100%=98.33
2) x%=88.26
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%=98.33/88.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.26 is what percent of 98.33

100%/x%=98.33/88.26
(100/x)*x=(98.33/88.26)*x       - we multiply both sides of the equation by x
100=1.114094720145*x       - we divide both sides of the equation by (1.114094720145) to get x
100/1.114094720145=x
89.758974880504=x
x=89.758974880504

now we have:
88.26 is 89.758974880504% of 98.33