77.8 is what percent of 81 - 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 81 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 81, so we can write it down as 100%=81.
4. We know, that x% equals 77.8 of the output value, so we can write it down as x%=77.8.
5. Now we have two simple equations:
1) 100%=81
2) x%=77.8
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%=81/77.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.8 is what percent of 81

100%/x%=81/77.8
(100/x)*x=(81/77.8)*x       - we multiply both sides of the equation by x
100=1.0411311053985*x       - we divide both sides of the equation by (1.0411311053985) to get x
100/1.0411311053985=x
96.049382716049=x
x=96.049382716049

now we have:
77.8 is 96.049382716049% of 81