50.36 is what percent of 31.36 - 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 31.36 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 31.36, so we can write it down as 100%=31.36.
4. We know, that x% equals 50.36 of the output value, so we can write it down as x%=50.36.
5. Now we have two simple equations:
1) 100%=31.36
2) x%=50.36
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%=31.36/50.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.36 is what percent of 31.36

100%/x%=31.36/50.36
(100/x)*x=(31.36/50.36)*x       - we multiply both sides of the equation by x
100=0.62271644162033*x       - we divide both sides of the equation by (0.62271644162033) to get x
100/0.62271644162033=x
160.58673469388=x
x=160.58673469388

now we have:
50.36 is 160.58673469388% of 31.36