2.26 is what percent of 113.16 - 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 113.16 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 113.16, so we can write it down as 100%=113.16.
4. We know, that x% equals 2.26 of the output value, so we can write it down as x%=2.26.
5. Now we have two simple equations:
1) 100%=113.16
2) x%=2.26
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%=113.16/2.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.26 is what percent of 113.16

100%/x%=113.16/2.26
(100/x)*x=(113.16/2.26)*x       - we multiply both sides of the equation by x
100=50.070796460177*x       - we divide both sides of the equation by (50.070796460177) to get x
100/50.070796460177=x
1.9971721456345=x
x=1.9971721456345

now we have:
2.26 is 1.9971721456345% of 113.16