260.36 is what percent of 291 - 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 291 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 291, so we can write it down as 100%=291.
4. We know, that x% equals 260.36 of the output value, so we can write it down as x%=260.36.
5. Now we have two simple equations:
1) 100%=291
2) x%=260.36
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%=291/260.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 260.36 is what percent of 291

100%/x%=291/260.36
(100/x)*x=(291/260.36)*x       - we multiply both sides of the equation by x
100=1.117683207866*x       - we divide both sides of the equation by (1.117683207866) to get x
100/1.117683207866=x
89.470790378007=x
x=89.470790378007

now we have:
260.36 is 89.470790378007% of 291