77.38 is what percent of 85.79 - 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 85.79 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 85.79, so we can write it down as 100%=85.79.
4. We know, that x% equals 77.38 of the output value, so we can write it down as x%=77.38.
5. Now we have two simple equations:
1) 100%=85.79
2) x%=77.38
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%=85.79/77.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.38 is what percent of 85.79

100%/x%=85.79/77.38
(100/x)*x=(85.79/77.38)*x       - we multiply both sides of the equation by x
100=1.1086844145774*x       - we divide both sides of the equation by (1.1086844145774) to get x
100/1.1086844145774=x
90.196992656487=x
x=90.196992656487

now we have:
77.38 is 90.196992656487% of 85.79