10.97 is what percent of 499.5 - 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 499.5 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 499.5, so we can write it down as 100%=499.5.
4. We know, that x% equals 10.97 of the output value, so we can write it down as x%=10.97.
5. Now we have two simple equations:
1) 100%=499.5
2) x%=10.97
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%=499.5/10.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.97 is what percent of 499.5

100%/x%=499.5/10.97
(100/x)*x=(499.5/10.97)*x       - we multiply both sides of the equation by x
100=45.533272561531*x       - we divide both sides of the equation by (45.533272561531) to get x
100/45.533272561531=x
2.1961961961962=x
x=2.1961961961962

now we have:
10.97 is 2.1961961961962% of 499.5