68 is what percent of 122.4 - 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 122.4 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 122.4, so we can write it down as 100%=122.4.
4. We know, that x% equals 68 of the output value, so we can write it down as x%=68.
5. Now we have two simple equations:
1) 100%=122.4
2) x%=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%=122.4/68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 68 is what percent of 122.4

100%/x%=122.4/68
(100/x)*x=(122.4/68)*x       - we multiply both sides of the equation by x
100=1.8*x       - we divide both sides of the equation by (1.8) to get x
100/1.8=x
55.555555555556=x
x=55.555555555556

now we have:
68 is 55.555555555556% of 122.4