168.41 is what percent of 765.5 - 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 765.5 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 765.5, so we can write it down as 100%=765.5.
4. We know, that x% equals 168.41 of the output value, so we can write it down as x%=168.41.
5. Now we have two simple equations:
1) 100%=765.5
2) x%=168.41
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%=765.5/168.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 168.41 is what percent of 765.5

100%/x%=765.5/168.41
(100/x)*x=(765.5/168.41)*x       - we multiply both sides of the equation by x
100=4.5454545454545*x       - we divide both sides of the equation by (4.5454545454545) to get x
100/4.5454545454545=x
22=x
x=22

now we have:
168.41 is 22% of 765.5