What is 25 percent of 200.202 - 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 200.202 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 200.202 is 100%, so we can write it down as 200.202=100%.
4. We know, that x is 25% of the output value, so we can write it down as x=25%.
5. Now we have two simple equations:
1) 200.202=100%
2) x=25%
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:
200.202/x=100%/25%
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 25% of 200.202

200.202/x=100/25
(200.202/x)*x=(100/25)*x       - we multiply both sides of the equation by x
200.202=4*x       - we divide both sides of the equation by (4) to get x
200.202/4=x
50.0505=x
x=50.0505

now we have:
25% of 200.202=50.0505