115.68 is what percent of 2110.68 - 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 2110.68 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 2110.68, so we can write it down as 100%=2110.68.
4. We know, that x% equals 115.68 of the output value, so we can write it down as x%=115.68.
5. Now we have two simple equations:
1) 100%=2110.68
2) x%=115.68
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%=2110.68/115.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.68 is what percent of 2110.68

100%/x%=2110.68/115.68
(100/x)*x=(2110.68/115.68)*x       - we multiply both sides of the equation by x
100=18.245850622407*x       - we divide both sides of the equation by (18.245850622407) to get x
100/18.245850622407=x
5.480698163625=x
x=5.480698163625

now we have:
115.68 is 5.480698163625% of 2110.68