360.05 is what percent of 654.55 - 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 654.55 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 654.55, so we can write it down as 100%=654.55.
4. We know, that x% equals 360.05 of the output value, so we can write it down as x%=360.05.
5. Now we have two simple equations:
1) 100%=654.55
2) x%=360.05
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%=654.55/360.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 360.05 is what percent of 654.55

100%/x%=654.55/360.05
(100/x)*x=(654.55/360.05)*x       - we multiply both sides of the equation by x
100=1.8179419525066*x       - we divide both sides of the equation by (1.8179419525066) to get x
100/1.8179419525066=x
55.007256894049=x
x=55.007256894049

now we have:
360.05 is 55.007256894049% of 654.55