92 is what percent of 7767 - 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 7767 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 7767, so we can write it down as 100%=7767.
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%=7767
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%=7767/92
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 7767

100%/x%=7767/92
(100/x)*x=(7767/92)*x       - we multiply both sides of the equation by x
100=84.423913043478*x       - we divide both sides of the equation by (84.423913043478) to get x
100/84.423913043478=x
1.1844985193769=x
x=1.1844985193769

now we have:
92 is 1.1844985193769% of 7767