54.92 is what percent of 55.145 - 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 55.145 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 55.145, so we can write it down as 100%=55.145.
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%=55.145
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%=55.145/54.92
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 55.145

100%/x%=55.145/54.92
(100/x)*x=(55.145/54.92)*x       - we multiply both sides of the equation by x
100=1.0040968681719*x       - we divide both sides of the equation by (1.0040968681719) to get x
100/1.0040968681719=x
99.591984767431=x
x=99.591984767431

now we have:
54.92 is 99.591984767431% of 55.145