194.98 is what percent of 238.38 - 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 238.38 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 238.38, so we can write it down as 100%=238.38.
4. We know, that x% equals 194.98 of the output value, so we can write it down as x%=194.98.
5. Now we have two simple equations:
1) 100%=238.38
2) x%=194.98
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%=238.38/194.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 194.98 is what percent of 238.38

100%/x%=238.38/194.98
(100/x)*x=(238.38/194.98)*x       - we multiply both sides of the equation by x
100=1.222586931993*x       - we divide both sides of the equation by (1.222586931993) to get x
100/1.222586931993=x
81.793774645524=x
x=81.793774645524

now we have:
194.98 is 81.793774645524% of 238.38