43.5 is what percent of 289 - 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 289 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 289, so we can write it down as 100%=289.
4. We know, that x% equals 43.5 of the output value, so we can write it down as x%=43.5.
5. Now we have two simple equations:
1) 100%=289
2) x%=43.5
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%=289/43.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.5 is what percent of 289

100%/x%=289/43.5
(100/x)*x=(289/43.5)*x       - we multiply both sides of the equation by x
100=6.6436781609195*x       - we divide both sides of the equation by (6.6436781609195) to get x
100/6.6436781609195=x
15.051903114187=x
x=15.051903114187

now we have:
43.5 is 15.051903114187% of 289