164.4 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 164.4 of the output value, so we can write it down as x%=164.4.
5. Now we have two simple equations:
1) 100%=289
2) x%=164.4
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%=289/164.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 164.4 is what percent of 289

100%/x%=289/164.4
(100/x)*x=(289/164.4)*x       - we multiply both sides of the equation by x
100=1.7579075425791*x       - we divide both sides of the equation by (1.7579075425791) to get x
100/1.7579075425791=x
56.885813148789=x
x=56.885813148789

now we have:
164.4 is 56.885813148789% of 289