67 is what percent of 77.6 - 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 77.6 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 77.6, so we can write it down as 100%=77.6.
4. We know, that x% equals 67 of the output value, so we can write it down as x%=67.
5. Now we have two simple equations:
1) 100%=77.6
2) x%=67
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%=77.6/67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67 is what percent of 77.6

100%/x%=77.6/67
(100/x)*x=(77.6/67)*x       - we multiply both sides of the equation by x
100=1.1582089552239*x       - we divide both sides of the equation by (1.1582089552239) to get x
100/1.1582089552239=x
86.340206185567=x
x=86.340206185567

now we have:
67 is 86.340206185567% of 77.6