19.55 is what percent of 30.59 - 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 30.59 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 30.59, so we can write it down as 100%=30.59.
4. We know, that x% equals 19.55 of the output value, so we can write it down as x%=19.55.
5. Now we have two simple equations:
1) 100%=30.59
2) x%=19.55
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%=30.59/19.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.55 is what percent of 30.59

100%/x%=30.59/19.55
(100/x)*x=(30.59/19.55)*x       - we multiply both sides of the equation by x
100=1.5647058823529*x       - we divide both sides of the equation by (1.5647058823529) to get x
100/1.5647058823529=x
63.90977443609=x
x=63.90977443609

now we have:
19.55 is 63.90977443609% of 30.59