30.43 is what percent of 1035.1 - 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 1035.1 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 1035.1, so we can write it down as 100%=1035.1.
4. We know, that x% equals 30.43 of the output value, so we can write it down as x%=30.43.
5. Now we have two simple equations:
1) 100%=1035.1
2) x%=30.43
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%=1035.1/30.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.43 is what percent of 1035.1

100%/x%=1035.1/30.43
(100/x)*x=(1035.1/30.43)*x       - we multiply both sides of the equation by x
100=34.015773907328*x       - we divide both sides of the equation by (34.015773907328) to get x
100/34.015773907328=x
2.9398125784948=x
x=2.9398125784948

now we have:
30.43 is 2.9398125784948% of 1035.1