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

7. Solution for 106.92 is what percent of 35.23

100%/x%=35.23/106.92
(100/x)*x=(35.23/106.92)*x       - we multiply both sides of the equation by x
100=0.3294986906098*x       - we divide both sides of the equation by (0.3294986906098) to get x
100/0.3294986906098=x
303.49134260573=x
x=303.49134260573

now we have:
106.92 is 303.49134260573% of 35.23