77 is what percent of 89.5 - 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 89.5 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 89.5, so we can write it down as 100%=89.5.
4. We know, that x% equals 77 of the output value, so we can write it down as x%=77.
5. Now we have two simple equations:
1) 100%=89.5
2) x%=77
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%=89.5/77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77 is what percent of 89.5

100%/x%=89.5/77
(100/x)*x=(89.5/77)*x       - we multiply both sides of the equation by x
100=1.1623376623377*x       - we divide both sides of the equation by (1.1623376623377) to get x
100/1.1623376623377=x
86.033519553073=x
x=86.033519553073

now we have:
77 is 86.033519553073% of 89.5