103.62 is what percent of 334.38 - 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 334.38 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 334.38, so we can write it down as 100%=334.38.
4. We know, that x% equals 103.62 of the output value, so we can write it down as x%=103.62.
5. Now we have two simple equations:
1) 100%=334.38
2) x%=103.62
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%=334.38/103.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.62 is what percent of 334.38

100%/x%=334.38/103.62
(100/x)*x=(334.38/103.62)*x       - we multiply both sides of the equation by x
100=3.2269832078749*x       - we divide both sides of the equation by (3.2269832078749) to get x
100/3.2269832078749=x
30.988695496142=x
x=30.988695496142

now we have:
103.62 is 30.988695496142% of 334.38