129.85 is what percent of 162.31 - 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 162.31 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 162.31, so we can write it down as 100%=162.31.
4. We know, that x% equals 129.85 of the output value, so we can write it down as x%=129.85.
5. Now we have two simple equations:
1) 100%=162.31
2) x%=129.85
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%=162.31/129.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 129.85 is what percent of 162.31

100%/x%=162.31/129.85
(100/x)*x=(162.31/129.85)*x       - we multiply both sides of the equation by x
100=1.2499807470158*x       - we divide both sides of the equation by (1.2499807470158) to get x
100/1.2499807470158=x
80.001232209969=x
x=80.001232209969

now we have:
129.85 is 80.001232209969% of 162.31