230.48 is what percent of 260 - 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 260 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 260, so we can write it down as 100%=260.
4. We know, that x% equals 230.48 of the output value, so we can write it down as x%=230.48.
5. Now we have two simple equations:
1) 100%=260
2) x%=230.48
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%=260/230.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230.48 is what percent of 260

100%/x%=260/230.48
(100/x)*x=(260/230.48)*x       - we multiply both sides of the equation by x
100=1.1280805275946*x       - we divide both sides of the equation by (1.1280805275946) to get x
100/1.1280805275946=x
88.646153846154=x
x=88.646153846154

now we have:
230.48 is 88.646153846154% of 260