92.57 is what percent of 364 - 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 364 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 364, so we can write it down as 100%=364.
4. We know, that x% equals 92.57 of the output value, so we can write it down as x%=92.57.
5. Now we have two simple equations:
1) 100%=364
2) x%=92.57
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%=364/92.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92.57 is what percent of 364

100%/x%=364/92.57
(100/x)*x=(364/92.57)*x       - we multiply both sides of the equation by x
100=3.932159446905*x       - we divide both sides of the equation by (3.932159446905) to get x
100/3.932159446905=x
25.431318681319=x
x=25.431318681319

now we have:
92.57 is 25.431318681319% of 364