50.68 is what percent of 48.069 - 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 48.069 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 48.069, so we can write it down as 100%=48.069.
4. We know, that x% equals 50.68 of the output value, so we can write it down as x%=50.68.
5. Now we have two simple equations:
1) 100%=48.069
2) x%=50.68
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%=48.069/50.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.68 is what percent of 48.069

100%/x%=48.069/50.68
(100/x)*x=(48.069/50.68)*x       - we multiply both sides of the equation by x
100=0.94848066298343*x       - we divide both sides of the equation by (0.94848066298343) to get x
100/0.94848066298343=x
105.43177515655=x
x=105.43177515655

now we have:
50.68 is 105.43177515655% of 48.069