92 is what percent of 538 - 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 538 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 538, so we can write it down as 100%=538.
4. We know, that x% equals 92 of the output value, so we can write it down as x%=92.
5. Now we have two simple equations:
1) 100%=538
2) x%=92
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%=538/92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92 is what percent of 538

100%/x%=538/92
(100/x)*x=(538/92)*x       - we multiply both sides of the equation by x
100=5.8478260869565*x       - we divide both sides of the equation by (5.8478260869565) to get x
100/5.8478260869565=x
17.100371747212=x
x=17.100371747212

now we have:
92 is 17.100371747212% of 538