77.68 is what percent of 89.99 - 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 89.99 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 89.99, so we can write it down as 100%=89.99.
4. We know, that x% equals 77.68 of the output value, so we can write it down as x%=77.68.
5. Now we have two simple equations:
1) 100%=89.99
2) x%=77.68
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%=89.99/77.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.68 is what percent of 89.99

100%/x%=89.99/77.68
(100/x)*x=(89.99/77.68)*x       - we multiply both sides of the equation by x
100=1.1584706488157*x       - we divide both sides of the equation by (1.1584706488157) to get x
100/1.1584706488157=x
86.320702300256=x
x=86.320702300256

now we have:
77.68 is 86.320702300256% of 89.99