92 is what percent of 1363 - 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 1363 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 1363, so we can write it down as 100%=1363.
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%=1363
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%=1363/92
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 1363

100%/x%=1363/92
(100/x)*x=(1363/92)*x       - we multiply both sides of the equation by x
100=14.815217391304*x       - we divide both sides of the equation by (14.815217391304) to get x
100/14.815217391304=x
6.7498165810712=x
x=6.7498165810712

now we have:
92 is 6.7498165810712% of 1363