5.69 is what percent of 11.48 - 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 11.48 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 11.48, so we can write it down as 100%=11.48.
4. We know, that x% equals 5.69 of the output value, so we can write it down as x%=5.69.
5. Now we have two simple equations:
1) 100%=11.48
2) x%=5.69
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%=11.48/5.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.69 is what percent of 11.48

100%/x%=11.48/5.69
(100/x)*x=(11.48/5.69)*x       - we multiply both sides of the equation by x
100=2.0175746924429*x       - we divide both sides of the equation by (2.0175746924429) to get x
100/2.0175746924429=x
49.564459930314=x
x=49.564459930314

now we have:
5.69 is 49.564459930314% of 11.48