54.92 is what percent of 55145.17 - 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 55145.17 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 55145.17, so we can write it down as 100%=55145.17.
4. We know, that x% equals 54.92 of the output value, so we can write it down as x%=54.92.
5. Now we have two simple equations:
1) 100%=55145.17
2) x%=54.92
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%=55145.17/54.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.92 is what percent of 55145.17

100%/x%=55145.17/54.92
(100/x)*x=(55145.17/54.92)*x       - we multiply both sides of the equation by x
100=1004.0999635834*x       - we divide both sides of the equation by (1004.0999635834) to get x
100/1004.0999635834=x
0.099591677748024=x
x=0.099591677748024

now we have:
54.92 is 0.099591677748024% of 55145.17