3.23 is what percent of 55.57 - 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 55.57 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 55.57, so we can write it down as 100%=55.57.
4. We know, that x% equals 3.23 of the output value, so we can write it down as x%=3.23.
5. Now we have two simple equations:
1) 100%=55.57
2) x%=3.23
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%=55.57/3.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.23 is what percent of 55.57

100%/x%=55.57/3.23
(100/x)*x=(55.57/3.23)*x       - we multiply both sides of the equation by x
100=17.204334365325*x       - we divide both sides of the equation by (17.204334365325) to get x
100/17.204334365325=x
5.8124887529242=x
x=5.8124887529242

now we have:
3.23 is 5.8124887529242% of 55.57