11.76 is what percent of 4.5 - 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 4.5 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 4.5, so we can write it down as 100%=4.5.
4. We know, that x% equals 11.76 of the output value, so we can write it down as x%=11.76.
5. Now we have two simple equations:
1) 100%=4.5
2) x%=11.76
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%=4.5/11.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.76 is what percent of 4.5

100%/x%=4.5/11.76
(100/x)*x=(4.5/11.76)*x       - we multiply both sides of the equation by x
100=0.38265306122449*x       - we divide both sides of the equation by (0.38265306122449) to get x
100/0.38265306122449=x
261.33333333333=x
x=261.33333333333

now we have:
11.76 is 261.33333333333% of 4.5