55.35 is what percent of 109.77 - 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 109.77 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 109.77, so we can write it down as 100%=109.77.
4. We know, that x% equals 55.35 of the output value, so we can write it down as x%=55.35.
5. Now we have two simple equations:
1) 100%=109.77
2) x%=55.35
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%=109.77/55.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.35 is what percent of 109.77

100%/x%=109.77/55.35
(100/x)*x=(109.77/55.35)*x       - we multiply both sides of the equation by x
100=1.9831978319783*x       - we divide both sides of the equation by (1.9831978319783) to get x
100/1.9831978319783=x
50.423613009019=x
x=50.423613009019

now we have:
55.35 is 50.423613009019% of 109.77