10.55 is what percent of 18.55 - 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 18.55 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 18.55, so we can write it down as 100%=18.55.
4. We know, that x% equals 10.55 of the output value, so we can write it down as x%=10.55.
5. Now we have two simple equations:
1) 100%=18.55
2) x%=10.55
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%=18.55/10.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.55 is what percent of 18.55

100%/x%=18.55/10.55
(100/x)*x=(18.55/10.55)*x       - we multiply both sides of the equation by x
100=1.7582938388626*x       - we divide both sides of the equation by (1.7582938388626) to get x
100/1.7582938388626=x
56.873315363881=x
x=56.873315363881

now we have:
10.55 is 56.873315363881% of 18.55