40.89 is what percent of 106596.23 - 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 106596.23 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 106596.23, so we can write it down as 100%=106596.23.
4. We know, that x% equals 40.89 of the output value, so we can write it down as x%=40.89.
5. Now we have two simple equations:
1) 100%=106596.23
2) x%=40.89
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%=106596.23/40.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.89 is what percent of 106596.23

100%/x%=106596.23/40.89
(100/x)*x=(106596.23/40.89)*x       - we multiply both sides of the equation by x
100=2606.9021765713*x       - we divide both sides of the equation by (2606.9021765713) to get x
100/2606.9021765713=x
0.038359705591839=x
x=0.038359705591839

now we have:
40.89 is 0.038359705591839% of 106596.23