289.07 is what percent of 1307.72 - 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 1307.72 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 1307.72, so we can write it down as 100%=1307.72.
4. We know, that x% equals 289.07 of the output value, so we can write it down as x%=289.07.
5. Now we have two simple equations:
1) 100%=1307.72
2) x%=289.07
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%=1307.72/289.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 289.07 is what percent of 1307.72

100%/x%=1307.72/289.07
(100/x)*x=(1307.72/289.07)*x       - we multiply both sides of the equation by x
100=4.5238869477981*x       - we divide both sides of the equation by (4.5238869477981) to get x
100/4.5238869477981=x
22.104884837733=x
x=22.104884837733

now we have:
289.07 is 22.104884837733% of 1307.72