109.94 is what percent of 585.44 - 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 585.44 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 585.44, so we can write it down as 100%=585.44.
4. We know, that x% equals 109.94 of the output value, so we can write it down as x%=109.94.
5. Now we have two simple equations:
1) 100%=585.44
2) x%=109.94
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%=585.44/109.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.94 is what percent of 585.44

100%/x%=585.44/109.94
(100/x)*x=(585.44/109.94)*x       - we multiply both sides of the equation by x
100=5.3250864107695*x       - we divide both sides of the equation by (5.3250864107695) to get x
100/5.3250864107695=x
18.779037988521=x
x=18.779037988521

now we have:
109.94 is 18.779037988521% of 585.44