145.33 is what percent of 140.18 - 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 140.18 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 140.18, so we can write it down as 100%=140.18.
4. We know, that x% equals 145.33 of the output value, so we can write it down as x%=145.33.
5. Now we have two simple equations:
1) 100%=140.18
2) x%=145.33
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%=140.18/145.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.33 is what percent of 140.18

100%/x%=140.18/145.33
(100/x)*x=(140.18/145.33)*x       - we multiply both sides of the equation by x
100=0.9645634074176*x       - we divide both sides of the equation by (0.9645634074176) to get x
100/0.9645634074176=x
103.67384790983=x
x=103.67384790983

now we have:
145.33 is 103.67384790983% of 140.18