289 is what percent of 9 - 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 9 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 9, so we can write it down as 100%=9.
4. We know, that x% equals 289 of the output value, so we can write it down as x%=289.
5. Now we have two simple equations:
1) 100%=9
2) x%=289
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%=9/289
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 289 is what percent of 9

100%/x%=9/289
(100/x)*x=(9/289)*x       - we multiply both sides of the equation by x
100=0.031141868512111*x       - we divide both sides of the equation by (0.031141868512111) to get x
100/0.031141868512111=x
3211.1111111111=x
x=3211.1111111111

now we have:
289 is 3211.1111111111% of 9