92 is what percent of 5204 - 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 5204 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 5204, so we can write it down as 100%=5204.
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%=5204
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%=5204/92
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 5204

100%/x%=5204/92
(100/x)*x=(5204/92)*x       - we multiply both sides of the equation by x
100=56.565217391304*x       - we divide both sides of the equation by (56.565217391304) to get x
100/56.565217391304=x
1.7678708685626=x
x=1.7678708685626

now we have:
92 is 1.7678708685626% of 5204