51.69 is what percent of 200.84 - 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 200.84 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 200.84, so we can write it down as 100%=200.84.
4. We know, that x% equals 51.69 of the output value, so we can write it down as x%=51.69.
5. Now we have two simple equations:
1) 100%=200.84
2) x%=51.69
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%=200.84/51.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.69 is what percent of 200.84

100%/x%=200.84/51.69
(100/x)*x=(200.84/51.69)*x       - we multiply both sides of the equation by x
100=3.8854710775779*x       - we divide both sides of the equation by (3.8854710775779) to get x
100/3.8854710775779=x
25.736904999004=x
x=25.736904999004

now we have:
51.69 is 25.736904999004% of 200.84