138.61 is what percent of 162.94 - 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 162.94 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 162.94, so we can write it down as 100%=162.94.
4. We know, that x% equals 138.61 of the output value, so we can write it down as x%=138.61.
5. Now we have two simple equations:
1) 100%=162.94
2) x%=138.61
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%=162.94/138.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.61 is what percent of 162.94

100%/x%=162.94/138.61
(100/x)*x=(162.94/138.61)*x       - we multiply both sides of the equation by x
100=1.17552846115*x       - we divide both sides of the equation by (1.17552846115) to get x
100/1.17552846115=x
85.068123235547=x
x=85.068123235547

now we have:
138.61 is 85.068123235547% of 162.94