55.73 is what percent of 1202.64 - 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 1202.64 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 1202.64, so we can write it down as 100%=1202.64.
4. We know, that x% equals 55.73 of the output value, so we can write it down as x%=55.73.
5. Now we have two simple equations:
1) 100%=1202.64
2) x%=55.73
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%=1202.64/55.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.73 is what percent of 1202.64

100%/x%=1202.64/55.73
(100/x)*x=(1202.64/55.73)*x       - we multiply both sides of the equation by x
100=21.579759554997*x       - we divide both sides of the equation by (21.579759554997) to get x
100/21.579759554997=x
4.6339719284241=x
x=4.6339719284241

now we have:
55.73 is 4.6339719284241% of 1202.64