54.65 is what percent of 68.31 - 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 68.31 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 68.31, so we can write it down as 100%=68.31.
4. We know, that x% equals 54.65 of the output value, so we can write it down as x%=54.65.
5. Now we have two simple equations:
1) 100%=68.31
2) x%=54.65
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%=68.31/54.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.65 is what percent of 68.31

100%/x%=68.31/54.65
(100/x)*x=(68.31/54.65)*x       - we multiply both sides of the equation by x
100=1.2499542543458*x       - we divide both sides of the equation by (1.2499542543458) to get x
100/1.2499542543458=x
80.002927829015=x
x=80.002927829015

now we have:
54.65 is 80.002927829015% of 68.31