79.4 is what percent of 110.6 - 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 110.6 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 110.6, so we can write it down as 100%=110.6.
4. We know, that x% equals 79.4 of the output value, so we can write it down as x%=79.4.
5. Now we have two simple equations:
1) 100%=110.6
2) x%=79.4
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%=110.6/79.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.4 is what percent of 110.6

100%/x%=110.6/79.4
(100/x)*x=(110.6/79.4)*x       - we multiply both sides of the equation by x
100=1.3929471032746*x       - we divide both sides of the equation by (1.3929471032746) to get x
100/1.3929471032746=x
71.790235081374=x
x=71.790235081374

now we have:
79.4 is 71.790235081374% of 110.6