86.8 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 86.8 of the output value, so we can write it down as x%=86.8.
5. Now we have two simple equations:
1) 100%=200.2
2) x%=86.8
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%=200.2/86.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86.8 is what percent of 200.2

100%/x%=200.2/86.8
(100/x)*x=(200.2/86.8)*x       - we multiply both sides of the equation by x
100=2.3064516129032*x       - we divide both sides of the equation by (2.3064516129032) to get x
100/2.3064516129032=x
43.356643356643=x
x=43.356643356643

now we have:
86.8 is 43.356643356643% of 200.2