350.44 is what percent of 1087.12 - 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 1087.12 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 1087.12, so we can write it down as 100%=1087.12.
4. We know, that x% equals 350.44 of the output value, so we can write it down as x%=350.44.
5. Now we have two simple equations:
1) 100%=1087.12
2) x%=350.44
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%=1087.12/350.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 350.44 is what percent of 1087.12

100%/x%=1087.12/350.44
(100/x)*x=(1087.12/350.44)*x       - we multiply both sides of the equation by x
100=3.1021572879808*x       - we divide both sides of the equation by (3.1021572879808) to get x
100/3.1021572879808=x
32.235631760983=x
x=32.235631760983

now we have:
350.44 is 32.235631760983% of 1087.12