0.31 is what percent of 50.11 - 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 50.11 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 50.11, so we can write it down as 100%=50.11.
4. We know, that x% equals 0.31 of the output value, so we can write it down as x%=0.31.
5. Now we have two simple equations:
1) 100%=50.11
2) x%=0.31
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%=50.11/0.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.31 is what percent of 50.11

100%/x%=50.11/0.31
(100/x)*x=(50.11/0.31)*x       - we multiply both sides of the equation by x
100=161.64516129032*x       - we divide both sides of the equation by (161.64516129032) to get x
100/161.64516129032=x
0.61863899421273=x
x=0.61863899421273

now we have:
0.31 is 0.61863899421273% of 50.11