31.8 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 31.8 of the output value, so we can write it down as x%=31.8.
5. Now we have two simple equations:
1) 100%=289
2) x%=31.8
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%=289/31.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.8 is what percent of 289

100%/x%=289/31.8
(100/x)*x=(289/31.8)*x       - we multiply both sides of the equation by x
100=9.0880503144654*x       - we divide both sides of the equation by (9.0880503144654) to get x
100/9.0880503144654=x
11.003460207612=x
x=11.003460207612

now we have:
31.8 is 11.003460207612% of 289