168.15 is what percent of 217.39 - 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 217.39 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 217.39, so we can write it down as 100%=217.39.
4. We know, that x% equals 168.15 of the output value, so we can write it down as x%=168.15.
5. Now we have two simple equations:
1) 100%=217.39
2) x%=168.15
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%=217.39/168.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 168.15 is what percent of 217.39

100%/x%=217.39/168.15
(100/x)*x=(217.39/168.15)*x       - we multiply both sides of the equation by x
100=1.2928337793637*x       - we divide both sides of the equation by (1.2928337793637) to get x
100/1.2928337793637=x
77.349464096785=x
x=77.349464096785

now we have:
168.15 is 77.349464096785% of 217.39