137.7 is what percent of 306 - 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 306 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 306, so we can write it down as 100%=306.
4. We know, that x% equals 137.7 of the output value, so we can write it down as x%=137.7.
5. Now we have two simple equations:
1) 100%=306
2) x%=137.7
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%=306/137.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.7 is what percent of 306

100%/x%=306/137.7
(100/x)*x=(306/137.7)*x       - we multiply both sides of the equation by x
100=2.2222222222222*x       - we divide both sides of the equation by (2.2222222222222) to get x
100/2.2222222222222=x
45=x
x=45

now we have:
137.7 is 45% of 306