98.67 is what percent of 12.738 - 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 12.738 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 12.738, so we can write it down as 100%=12.738.
4. We know, that x% equals 98.67 of the output value, so we can write it down as x%=98.67.
5. Now we have two simple equations:
1) 100%=12.738
2) x%=98.67
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%=12.738/98.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.67 is what percent of 12.738

100%/x%=12.738/98.67
(100/x)*x=(12.738/98.67)*x       - we multiply both sides of the equation by x
100=0.12909698996656*x       - we divide both sides of the equation by (0.12909698996656) to get x
100/0.12909698996656=x
774.61139896373=x
x=774.61139896373

now we have:
98.67 is 774.61139896373% of 12.738