35.51 is what percent of 50.12 - 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 50.12 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 50.12, so we can write it down as 100%=50.12.
4. We know, that x% equals 35.51 of the output value, so we can write it down as x%=35.51.
5. Now we have two simple equations:
1) 100%=50.12
2) x%=35.51
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%=50.12/35.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.51 is what percent of 50.12

100%/x%=50.12/35.51
(100/x)*x=(50.12/35.51)*x       - we multiply both sides of the equation by x
100=1.4114333990425*x       - we divide both sides of the equation by (1.4114333990425) to get x
100/1.4114333990425=x
70.84996009577=x
x=70.84996009577

now we have:
35.51 is 70.84996009577% of 50.12