200.55 is what percent of 9.56 - 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 9.56 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 9.56, so we can write it down as 100%=9.56.
4. We know, that x% equals 200.55 of the output value, so we can write it down as x%=200.55.
5. Now we have two simple equations:
1) 100%=9.56
2) x%=200.55
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%=9.56/200.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 200.55 is what percent of 9.56

100%/x%=9.56/200.55
(100/x)*x=(9.56/200.55)*x       - we multiply both sides of the equation by x
100=0.047668910496136*x       - we divide both sides of the equation by (0.047668910496136) to get x
100/0.047668910496136=x
2097.8033472803=x
x=2097.8033472803

now we have:
200.55 is 2097.8033472803% of 9.56