464.01 is what percent of 4921.85 - 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 4921.85 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 4921.85, so we can write it down as 100%=4921.85.
4. We know, that x% equals 464.01 of the output value, so we can write it down as x%=464.01.
5. Now we have two simple equations:
1) 100%=4921.85
2) x%=464.01
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%=4921.85/464.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 464.01 is what percent of 4921.85

100%/x%=4921.85/464.01
(100/x)*x=(4921.85/464.01)*x       - we multiply both sides of the equation by x
100=10.607206741234*x       - we divide both sides of the equation by (10.607206741234) to get x
100/10.607206741234=x
9.4275526478865=x
x=9.4275526478865

now we have:
464.01 is 9.4275526478865% of 4921.85