70.97 is what percent of 235.97 - 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 235.97 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 235.97, so we can write it down as 100%=235.97.
4. We know, that x% equals 70.97 of the output value, so we can write it down as x%=70.97.
5. Now we have two simple equations:
1) 100%=235.97
2) x%=70.97
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%=235.97/70.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.97 is what percent of 235.97

100%/x%=235.97/70.97
(100/x)*x=(235.97/70.97)*x       - we multiply both sides of the equation by x
100=3.324926025081*x       - we divide both sides of the equation by (3.324926025081) to get x
100/3.324926025081=x
30.075857100479=x
x=30.075857100479

now we have:
70.97 is 30.075857100479% of 235.97