6.55 is what percent of 11.45 - 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 11.45 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 11.45, so we can write it down as 100%=11.45.
4. We know, that x% equals 6.55 of the output value, so we can write it down as x%=6.55.
5. Now we have two simple equations:
1) 100%=11.45
2) x%=6.55
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%=11.45/6.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.55 is what percent of 11.45

100%/x%=11.45/6.55
(100/x)*x=(11.45/6.55)*x       - we multiply both sides of the equation by x
100=1.7480916030534*x       - we divide both sides of the equation by (1.7480916030534) to get x
100/1.7480916030534=x
57.205240174672=x
x=57.205240174672

now we have:
6.55 is 57.205240174672% of 11.45