59.6 is what percent of 200.2 - 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 200.2 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 200.2, so we can write it down as 100%=200.2.
4. We know, that x% equals 59.6 of the output value, so we can write it down as x%=59.6.
5. Now we have two simple equations:
1) 100%=200.2
2) x%=59.6
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%=200.2/59.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.6 is what percent of 200.2

100%/x%=200.2/59.6
(100/x)*x=(200.2/59.6)*x       - we multiply both sides of the equation by x
100=3.3590604026846*x       - we divide both sides of the equation by (3.3590604026846) to get x
100/3.3590604026846=x
29.77022977023=x
x=29.77022977023

now we have:
59.6 is 29.77022977023% of 200.2