138.97 is what percent of 189.34 - 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 189.34 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 189.34, so we can write it down as 100%=189.34.
4. We know, that x% equals 138.97 of the output value, so we can write it down as x%=138.97.
5. Now we have two simple equations:
1) 100%=189.34
2) x%=138.97
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%=189.34/138.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.97 is what percent of 189.34

100%/x%=189.34/138.97
(100/x)*x=(189.34/138.97)*x       - we multiply both sides of the equation by x
100=1.3624523278405*x       - we divide both sides of the equation by (1.3624523278405) to get x
100/1.3624523278405=x
73.39706348368=x
x=73.39706348368

now we have:
138.97 is 73.39706348368% of 189.34