5.95 is what percent of 11910 - 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 11910 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 11910, so we can write it down as 100%=11910.
4. We know, that x% equals 5.95 of the output value, so we can write it down as x%=5.95.
5. Now we have two simple equations:
1) 100%=11910
2) x%=5.95
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%=11910/5.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.95 is what percent of 11910

100%/x%=11910/5.95
(100/x)*x=(11910/5.95)*x       - we multiply both sides of the equation by x
100=2001.6806722689*x       - we divide both sides of the equation by (2001.6806722689) to get x
100/2001.6806722689=x
0.049958018471872=x
x=0.049958018471872

now we have:
5.95 is 0.049958018471872% of 11910