15.68 is what percent of 110.42 - 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 110.42 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 110.42, so we can write it down as 100%=110.42.
4. We know, that x% equals 15.68 of the output value, so we can write it down as x%=15.68.
5. Now we have two simple equations:
1) 100%=110.42
2) x%=15.68
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%=110.42/15.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.68 is what percent of 110.42

100%/x%=110.42/15.68
(100/x)*x=(110.42/15.68)*x       - we multiply both sides of the equation by x
100=7.0420918367347*x       - we divide both sides of the equation by (7.0420918367347) to get x
100/7.0420918367347=x
14.200326027893=x
x=14.200326027893

now we have:
15.68 is 14.200326027893% of 110.42