103.3 is what percent of 368.5 - 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 368.5 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 368.5, so we can write it down as 100%=368.5.
4. We know, that x% equals 103.3 of the output value, so we can write it down as x%=103.3.
5. Now we have two simple equations:
1) 100%=368.5
2) x%=103.3
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%=368.5/103.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.3 is what percent of 368.5

100%/x%=368.5/103.3
(100/x)*x=(368.5/103.3)*x       - we multiply both sides of the equation by x
100=3.567279767667*x       - we divide both sides of the equation by (3.567279767667) to get x
100/3.567279767667=x
28.032564450475=x
x=28.032564450475

now we have:
103.3 is 28.032564450475% of 368.5