91.75 is what percent of 258.4 - 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 258.4 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 258.4, so we can write it down as 100%=258.4.
4. We know, that x% equals 91.75 of the output value, so we can write it down as x%=91.75.
5. Now we have two simple equations:
1) 100%=258.4
2) x%=91.75
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%=258.4/91.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 91.75 is what percent of 258.4

100%/x%=258.4/91.75
(100/x)*x=(258.4/91.75)*x       - we multiply both sides of the equation by x
100=2.816348773842*x       - we divide both sides of the equation by (2.816348773842) to get x
100/2.816348773842=x
35.506965944272=x
x=35.506965944272

now we have:
91.75 is 35.506965944272% of 258.4