140.5 is what percent of 162.25 - 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 162.25 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 162.25, so we can write it down as 100%=162.25.
4. We know, that x% equals 140.5 of the output value, so we can write it down as x%=140.5.
5. Now we have two simple equations:
1) 100%=162.25
2) x%=140.5
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%=162.25/140.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 140.5 is what percent of 162.25

100%/x%=162.25/140.5
(100/x)*x=(162.25/140.5)*x       - we multiply both sides of the equation by x
100=1.1548042704626*x       - we divide both sides of the equation by (1.1548042704626) to get x
100/1.1548042704626=x
86.594761171032=x
x=86.594761171032

now we have:
140.5 is 86.594761171032% of 162.25