11.5 is what percent of 5.3 - 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 5.3 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 5.3, so we can write it down as 100%=5.3.
4. We know, that x% equals 11.5 of the output value, so we can write it down as x%=11.5.
5. Now we have two simple equations:
1) 100%=5.3
2) x%=11.5
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%=5.3/11.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.5 is what percent of 5.3

100%/x%=5.3/11.5
(100/x)*x=(5.3/11.5)*x       - we multiply both sides of the equation by x
100=0.46086956521739*x       - we divide both sides of the equation by (0.46086956521739) to get x
100/0.46086956521739=x
216.98113207547=x
x=216.98113207547

now we have:
11.5 is 216.98113207547% of 5.3