636.01 is what percent of 850.01 - 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 850.01 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 850.01, so we can write it down as 100%=850.01.
4. We know, that x% equals 636.01 of the output value, so we can write it down as x%=636.01.
5. Now we have two simple equations:
1) 100%=850.01
2) x%=636.01
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%=850.01/636.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 636.01 is what percent of 850.01

100%/x%=850.01/636.01
(100/x)*x=(850.01/636.01)*x       - we multiply both sides of the equation by x
100=1.3364726969702*x       - we divide both sides of the equation by (1.3364726969702) to get x
100/1.3364726969702=x
74.823825602052=x
x=74.823825602052

now we have:
636.01 is 74.823825602052% of 850.01