7.55 is what percent of 11.55 - 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 11.55 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 11.55, so we can write it down as 100%=11.55.
4. We know, that x% equals 7.55 of the output value, so we can write it down as x%=7.55.
5. Now we have two simple equations:
1) 100%=11.55
2) x%=7.55
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%=11.55/7.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.55 is what percent of 11.55

100%/x%=11.55/7.55
(100/x)*x=(11.55/7.55)*x       - we multiply both sides of the equation by x
100=1.5298013245033*x       - we divide both sides of the equation by (1.5298013245033) to get x
100/1.5298013245033=x
65.367965367965=x
x=65.367965367965

now we have:
7.55 is 65.367965367965% of 11.55