569.99 is what percent of 499.99 - 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 499.99 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 499.99, so we can write it down as 100%=499.99.
4. We know, that x% equals 569.99 of the output value, so we can write it down as x%=569.99.
5. Now we have two simple equations:
1) 100%=499.99
2) x%=569.99
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%=499.99/569.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 569.99 is what percent of 499.99

100%/x%=499.99/569.99
(100/x)*x=(499.99/569.99)*x       - we multiply both sides of the equation by x
100=0.87719082790926*x       - we divide both sides of the equation by (0.87719082790926) to get x
100/0.87719082790926=x
114.0002800056=x
x=114.0002800056

now we have:
569.99 is 114.0002800056% of 499.99