129.2 is what percent of 364.2 - 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 364.2 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 364.2, so we can write it down as 100%=364.2.
4. We know, that x% equals 129.2 of the output value, so we can write it down as x%=129.2.
5. Now we have two simple equations:
1) 100%=364.2
2) x%=129.2
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%=364.2/129.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 129.2 is what percent of 364.2

100%/x%=364.2/129.2
(100/x)*x=(364.2/129.2)*x       - we multiply both sides of the equation by x
100=2.8188854489164*x       - we divide both sides of the equation by (2.8188854489164) to get x
100/2.8188854489164=x
35.47501372872=x
x=35.47501372872

now we have:
129.2 is 35.47501372872% of 364.2