140.37 is what percent of 168.73 - 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 168.73 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 168.73, so we can write it down as 100%=168.73.
4. We know, that x% equals 140.37 of the output value, so we can write it down as x%=140.37.
5. Now we have two simple equations:
1) 100%=168.73
2) x%=140.37
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%=168.73/140.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 140.37 is what percent of 168.73

100%/x%=168.73/140.37
(100/x)*x=(168.73/140.37)*x       - we multiply both sides of the equation by x
100=1.2020374723944*x       - we divide both sides of the equation by (1.2020374723944) to get x
100/1.2020374723944=x
83.192082024536=x
x=83.192082024536

now we have:
140.37 is 83.192082024536% of 168.73