92 is what percent of 77.65 - 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 77.65 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 77.65, so we can write it down as 100%=77.65.
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%=77.65
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%=77.65/92
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 77.65

100%/x%=77.65/92
(100/x)*x=(77.65/92)*x       - we multiply both sides of the equation by x
100=0.84402173913043*x       - we divide both sides of the equation by (0.84402173913043) to get x
100/0.84402173913043=x
118.4803605924=x
x=118.4803605924

now we have:
92 is 118.4803605924% of 77.65