77.7 is what percent of 99.9 - 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 99.9 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 99.9, so we can write it down as 100%=99.9.
4. We know, that x% equals 77.7 of the output value, so we can write it down as x%=77.7.
5. Now we have two simple equations:
1) 100%=99.9
2) x%=77.7
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%=99.9/77.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.7 is what percent of 99.9

100%/x%=99.9/77.7
(100/x)*x=(99.9/77.7)*x       - we multiply both sides of the equation by x
100=1.2857142857143*x       - we divide both sides of the equation by (1.2857142857143) to get x
100/1.2857142857143=x
77.777777777778=x
x=77.777777777778

now we have:
77.7 is 77.777777777778% of 99.9