361.41 is what percent of 36.62 - 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 36.62 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 36.62, so we can write it down as 100%=36.62.
4. We know, that x% equals 361.41 of the output value, so we can write it down as x%=361.41.
5. Now we have two simple equations:
1) 100%=36.62
2) x%=361.41
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%=36.62/361.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 361.41 is what percent of 36.62

100%/x%=36.62/361.41
(100/x)*x=(36.62/361.41)*x       - we multiply both sides of the equation by x
100=0.10132536454442*x       - we divide both sides of the equation by (0.10132536454442) to get x
100/0.10132536454442=x
986.91971600218=x
x=986.91971600218

now we have:
361.41 is 986.91971600218% of 36.62