111.07 is what percent of 215 - 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 215 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 215, so we can write it down as 100%=215.
4. We know, that x% equals 111.07 of the output value, so we can write it down as x%=111.07.
5. Now we have two simple equations:
1) 100%=215
2) x%=111.07
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%=215/111.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 111.07 is what percent of 215

100%/x%=215/111.07
(100/x)*x=(215/111.07)*x       - we multiply both sides of the equation by x
100=1.9357162149995*x       - we divide both sides of the equation by (1.9357162149995) to get x
100/1.9357162149995=x
51.660465116279=x
x=51.660465116279

now we have:
111.07 is 51.660465116279% of 215