5.55 is what percent of 9.45 - 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 9.45 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 9.45, so we can write it down as 100%=9.45.
4. We know, that x% equals 5.55 of the output value, so we can write it down as x%=5.55.
5. Now we have two simple equations:
1) 100%=9.45
2) x%=5.55
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%=9.45/5.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.55 is what percent of 9.45

100%/x%=9.45/5.55
(100/x)*x=(9.45/5.55)*x       - we multiply both sides of the equation by x
100=1.7027027027027*x       - we divide both sides of the equation by (1.7027027027027) to get x
100/1.7027027027027=x
58.730158730159=x
x=58.730158730159

now we have:
5.55 is 58.730158730159% of 9.45