134.25 is what percent of 243.75 - 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 243.75 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 243.75, so we can write it down as 100%=243.75.
4. We know, that x% equals 134.25 of the output value, so we can write it down as x%=134.25.
5. Now we have two simple equations:
1) 100%=243.75
2) x%=134.25
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%=243.75/134.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 134.25 is what percent of 243.75

100%/x%=243.75/134.25
(100/x)*x=(243.75/134.25)*x       - we multiply both sides of the equation by x
100=1.8156424581006*x       - we divide both sides of the equation by (1.8156424581006) to get x
100/1.8156424581006=x
55.076923076923=x
x=55.076923076923

now we have:
134.25 is 55.076923076923% of 243.75