22.79 is what percent of 316.35 - 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 316.35 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 316.35, so we can write it down as 100%=316.35.
4. We know, that x% equals 22.79 of the output value, so we can write it down as x%=22.79.
5. Now we have two simple equations:
1) 100%=316.35
2) x%=22.79
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%=316.35/22.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.79 is what percent of 316.35

100%/x%=316.35/22.79
(100/x)*x=(316.35/22.79)*x       - we multiply both sides of the equation by x
100=13.881088196577*x       - we divide both sides of the equation by (13.881088196577) to get x
100/13.881088196577=x
7.2040461514146=x
x=7.2040461514146

now we have:
22.79 is 7.2040461514146% of 316.35