103.16 is what percent of 348.24 - 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 348.24 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 348.24, so we can write it down as 100%=348.24.
4. We know, that x% equals 103.16 of the output value, so we can write it down as x%=103.16.
5. Now we have two simple equations:
1) 100%=348.24
2) x%=103.16
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%=348.24/103.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.16 is what percent of 348.24

100%/x%=348.24/103.16
(100/x)*x=(348.24/103.16)*x       - we multiply both sides of the equation by x
100=3.3757270259791*x       - we divide both sides of the equation by (3.3757270259791) to get x
100/3.3757270259791=x
29.623248334482=x
x=29.623248334482

now we have:
103.16 is 29.623248334482% of 348.24