42.9 is what percent of 50.05 - 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 50.05 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 50.05, so we can write it down as 100%=50.05.
4. We know, that x% equals 42.9 of the output value, so we can write it down as x%=42.9.
5. Now we have two simple equations:
1) 100%=50.05
2) x%=42.9
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%=50.05/42.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.9 is what percent of 50.05

100%/x%=50.05/42.9
(100/x)*x=(50.05/42.9)*x       - we multiply both sides of the equation by x
100=1.1666666666667*x       - we divide both sides of the equation by (1.1666666666667) to get x
100/1.1666666666667=x
85.714285714286=x
x=85.714285714286

now we have:
42.9 is 85.714285714286% of 50.05