434.23 is what percent of 1085.79 - 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 1085.79 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 1085.79, so we can write it down as 100%=1085.79.
4. We know, that x% equals 434.23 of the output value, so we can write it down as x%=434.23.
5. Now we have two simple equations:
1) 100%=1085.79
2) x%=434.23
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%=1085.79/434.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 434.23 is what percent of 1085.79

100%/x%=1085.79/434.23
(100/x)*x=(1085.79/434.23)*x       - we multiply both sides of the equation by x
100=2.5004951293094*x       - we divide both sides of the equation by (2.5004951293094) to get x
100/2.5004951293094=x
39.992079499719=x
x=39.992079499719

now we have:
434.23 is 39.992079499719% of 1085.79