92 is what percent of 63.9 - 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 63.9 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 63.9, so we can write it down as 100%=63.9.
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%=63.9
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%=63.9/92
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 63.9

100%/x%=63.9/92
(100/x)*x=(63.9/92)*x       - we multiply both sides of the equation by x
100=0.6945652173913*x       - we divide both sides of the equation by (0.6945652173913) to get x
100/0.6945652173913=x
143.97496087637=x
x=143.97496087637

now we have:
92 is 143.97496087637% of 63.9