What is 43.86 percent of 200 - 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 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 200 is 100%, so we can write it down as 200=100%.
4. We know, that x is 43.86% of the output value, so we can write it down as x=43.86%.
5. Now we have two simple equations:
1) 200=100%
2) x=43.86%
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:
200/x=100%/43.86%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 43.86% of 200

200/x=100/43.86
(200/x)*x=(100/43.86)*x       - we multiply both sides of the equation by x
200=2.2799817601459*x       - we divide both sides of the equation by (2.2799817601459) to get x
200/2.2799817601459=x
87.72=x
x=87.72

now we have:
43.86% of 200=87.72