50.01 is what percent of 285.75 - 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 285.75 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 285.75, so we can write it down as 100%=285.75.
4. We know, that x% equals 50.01 of the output value, so we can write it down as x%=50.01.
5. Now we have two simple equations:
1) 100%=285.75
2) x%=50.01
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%=285.75/50.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.01 is what percent of 285.75

100%/x%=285.75/50.01
(100/x)*x=(285.75/50.01)*x       - we multiply both sides of the equation by x
100=5.7138572285543*x       - we divide both sides of the equation by (5.7138572285543) to get x
100/5.7138572285543=x
17.501312335958=x
x=17.501312335958

now we have:
50.01 is 17.501312335958% of 285.75