11.69 is what percent of 579.71 - 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 579.71 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 579.71, so we can write it down as 100%=579.71.
4. We know, that x% equals 11.69 of the output value, so we can write it down as x%=11.69.
5. Now we have two simple equations:
1) 100%=579.71
2) x%=11.69
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%=579.71/11.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.69 is what percent of 579.71

100%/x%=579.71/11.69
(100/x)*x=(579.71/11.69)*x       - we multiply both sides of the equation by x
100=49.590248075278*x       - we divide both sides of the equation by (49.590248075278) to get x
100/49.590248075278=x
2.0165255041314=x
x=2.0165255041314

now we have:
11.69 is 2.0165255041314% of 579.71