11.79 is what percent of 29.99 - 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 29.99 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 29.99, so we can write it down as 100%=29.99.
4. We know, that x% equals 11.79 of the output value, so we can write it down as x%=11.79.
5. Now we have two simple equations:
1) 100%=29.99
2) x%=11.79
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%=29.99/11.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.79 is what percent of 29.99

100%/x%=29.99/11.79
(100/x)*x=(29.99/11.79)*x       - we multiply both sides of the equation by x
100=2.5436810856658*x       - we divide both sides of the equation by (2.5436810856658) to get x
100/2.5436810856658=x
39.313104368123=x
x=39.313104368123

now we have:
11.79 is 39.313104368123% of 29.99