33.89 is what percent of 34.57 - 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 34.57 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 34.57, so we can write it down as 100%=34.57.
4. We know, that x% equals 33.89 of the output value, so we can write it down as x%=33.89.
5. Now we have two simple equations:
1) 100%=34.57
2) x%=33.89
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%=34.57/33.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.89 is what percent of 34.57

100%/x%=34.57/33.89
(100/x)*x=(34.57/33.89)*x       - we multiply both sides of the equation by x
100=1.0200649159044*x       - we divide both sides of the equation by (1.0200649159044) to get x
100/1.0200649159044=x
98.03297656928=x
x=98.03297656928

now we have:
33.89 is 98.03297656928% of 34.57