35.23 is what percent of 106.92 - 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 106.92 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 106.92, so we can write it down as 100%=106.92.
4. We know, that x% equals 35.23 of the output value, so we can write it down as x%=35.23.
5. Now we have two simple equations:
1) 100%=106.92
2) x%=35.23
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%=106.92/35.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.23 is what percent of 106.92

100%/x%=106.92/35.23
(100/x)*x=(106.92/35.23)*x       - we multiply both sides of the equation by x
100=3.0349134260573*x       - we divide both sides of the equation by (3.0349134260573) to get x
100/3.0349134260573=x
32.94986906098=x
x=32.94986906098

now we have:
35.23 is 32.94986906098% of 106.92