304.33 is what percent of 3496.56 - 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 3496.56 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 3496.56, so we can write it down as 100%=3496.56.
4. We know, that x% equals 304.33 of the output value, so we can write it down as x%=304.33.
5. Now we have two simple equations:
1) 100%=3496.56
2) x%=304.33
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%=3496.56/304.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 304.33 is what percent of 3496.56

100%/x%=3496.56/304.33
(100/x)*x=(3496.56/304.33)*x       - we multiply both sides of the equation by x
100=11.489370091677*x       - we divide both sides of the equation by (11.489370091677) to get x
100/11.489370091677=x
8.7036973482509=x
x=8.7036973482509

now we have:
304.33 is 8.7036973482509% of 3496.56