91.78 is what percent of 350 - 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 350 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 350, so we can write it down as 100%=350.
4. We know, that x% equals 91.78 of the output value, so we can write it down as x%=91.78.
5. Now we have two simple equations:
1) 100%=350
2) x%=91.78
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%=350/91.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 91.78 is what percent of 350

100%/x%=350/91.78
(100/x)*x=(350/91.78)*x       - we multiply both sides of the equation by x
100=3.8134669862715*x       - we divide both sides of the equation by (3.8134669862715) to get x
100/3.8134669862715=x
26.222857142857=x
x=26.222857142857

now we have:
91.78 is 26.222857142857% of 350