389.76 is what percent of 68.64 - 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 68.64 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 68.64, so we can write it down as 100%=68.64.
4. We know, that x% equals 389.76 of the output value, so we can write it down as x%=389.76.
5. Now we have two simple equations:
1) 100%=68.64
2) x%=389.76
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%=68.64/389.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 389.76 is what percent of 68.64

100%/x%=68.64/389.76
(100/x)*x=(68.64/389.76)*x       - we multiply both sides of the equation by x
100=0.17610837438424*x       - we divide both sides of the equation by (0.17610837438424) to get x
100/0.17610837438424=x
567.83216783217=x
x=567.83216783217

now we have:
389.76 is 567.83216783217% of 68.64