137.2 is what percent of 589.7 - 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 589.7 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 589.7, so we can write it down as 100%=589.7.
4. We know, that x% equals 137.2 of the output value, so we can write it down as x%=137.2.
5. Now we have two simple equations:
1) 100%=589.7
2) x%=137.2
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%=589.7/137.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.2 is what percent of 589.7

100%/x%=589.7/137.2
(100/x)*x=(589.7/137.2)*x       - we multiply both sides of the equation by x
100=4.2981049562682*x       - we divide both sides of the equation by (4.2981049562682) to get x
100/4.2981049562682=x
23.266067491945=x
x=23.266067491945

now we have:
137.2 is 23.266067491945% of 589.7