116.95 is what percent of 499.95 - 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 499.95 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 499.95, so we can write it down as 100%=499.95.
4. We know, that x% equals 116.95 of the output value, so we can write it down as x%=116.95.
5. Now we have two simple equations:
1) 100%=499.95
2) x%=116.95
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%=499.95/116.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.95 is what percent of 499.95

100%/x%=499.95/116.95
(100/x)*x=(499.95/116.95)*x       - we multiply both sides of the equation by x
100=4.2749038050449*x       - we divide both sides of the equation by (4.2749038050449) to get x
100/4.2749038050449=x
23.392339233923=x
x=23.392339233923

now we have:
116.95 is 23.392339233923% of 499.95