45.53 is what percent of 168 - 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 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, so we can write it down as 100%=168.
4. We know, that x% equals 45.53 of the output value, so we can write it down as x%=45.53.
5. Now we have two simple equations:
1) 100%=168
2) x%=45.53
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%=168/45.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.53 is what percent of 168

100%/x%=168/45.53
(100/x)*x=(168/45.53)*x       - we multiply both sides of the equation by x
100=3.689874807819*x       - we divide both sides of the equation by (3.689874807819) to get x
100/3.689874807819=x
27.10119047619=x
x=27.10119047619

now we have:
45.53 is 27.10119047619% of 168