67.74 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 67.74 of the output value, so we can write it down as x%=67.74.
5. Now we have two simple equations:
1) 100%=200.84
2) x%=67.74
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%=200.84/67.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.74 is what percent of 200.84

100%/x%=200.84/67.74
(100/x)*x=(200.84/67.74)*x       - we multiply both sides of the equation by x
100=2.9648656628285*x       - we divide both sides of the equation by (2.9648656628285) to get x
100/2.9648656628285=x
33.728340967935=x
x=33.728340967935

now we have:
67.74 is 33.728340967935% of 200.84