310.83 is what percent of 29.95 - 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 29.95 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 29.95, so we can write it down as 100%=29.95.
4. We know, that x% equals 310.83 of the output value, so we can write it down as x%=310.83.
5. Now we have two simple equations:
1) 100%=29.95
2) x%=310.83
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%=29.95/310.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 310.83 is what percent of 29.95

100%/x%=29.95/310.83
(100/x)*x=(29.95/310.83)*x       - we multiply both sides of the equation by x
100=0.0963549206962*x       - we divide both sides of the equation by (0.0963549206962) to get x
100/0.0963549206962=x
1037.8297161937=x
x=1037.8297161937

now we have:
310.83 is 1037.8297161937% of 29.95