129.4 is what percent of 368.9 - 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 368.9 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 368.9, so we can write it down as 100%=368.9.
4. We know, that x% equals 129.4 of the output value, so we can write it down as x%=129.4.
5. Now we have two simple equations:
1) 100%=368.9
2) x%=129.4
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%=368.9/129.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 129.4 is what percent of 368.9

100%/x%=368.9/129.4
(100/x)*x=(368.9/129.4)*x       - we multiply both sides of the equation by x
100=2.8508500772798*x       - we divide both sides of the equation by (2.8508500772798) to get x
100/2.8508500772798=x
35.077256709135=x
x=35.077256709135

now we have:
129.4 is 35.077256709135% of 368.9