316.41 is what percent of 258.22 - 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 258.22 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 258.22, so we can write it down as 100%=258.22.
4. We know, that x% equals 316.41 of the output value, so we can write it down as x%=316.41.
5. Now we have two simple equations:
1) 100%=258.22
2) x%=316.41
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%=258.22/316.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 316.41 is what percent of 258.22

100%/x%=258.22/316.41
(100/x)*x=(258.22/316.41)*x       - we multiply both sides of the equation by x
100=0.81609304383553*x       - we divide both sides of the equation by (0.81609304383553) to get x
100/0.81609304383553=x
122.5350476338=x
x=122.5350476338

now we have:
316.41 is 122.5350476338% of 258.22