What is 199.75 percent of 25 - 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 25 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 25 is 100%, so we can write it down as 25=100%.
4. We know, that x is 199.75% of the output value, so we can write it down as x=199.75%.
5. Now we have two simple equations:
1) 25=100%
2) x=199.75%
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:
25/x=100%/199.75%
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 199.75% of 25

25/x=100/199.75
(25/x)*x=(100/199.75)*x       - we multiply both sides of the equation by x
25=0.50062578222778*x       - we divide both sides of the equation by (0.50062578222778) to get x
25/0.50062578222778=x
49.9375=x
x=49.9375

now we have:
199.75% of 25=49.9375