100.02 is what percent of 168.425 - 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 168.425 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 168.425, so we can write it down as 100%=168.425.
4. We know, that x% equals 100.02 of the output value, so we can write it down as x%=100.02.
5. Now we have two simple equations:
1) 100%=168.425
2) x%=100.02
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%=168.425/100.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.02 is what percent of 168.425

100%/x%=168.425/100.02
(100/x)*x=(168.425/100.02)*x       - we multiply both sides of the equation by x
100=1.6839132173565*x       - we divide both sides of the equation by (1.6839132173565) to get x
100/1.6839132173565=x
59.385483152739=x
x=59.385483152739

now we have:
100.02 is 59.385483152739% of 168.425