219.99 is what percent of 259.99 - 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 259.99 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 259.99, so we can write it down as 100%=259.99.
4. We know, that x% equals 219.99 of the output value, so we can write it down as x%=219.99.
5. Now we have two simple equations:
1) 100%=259.99
2) x%=219.99
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%=259.99/219.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 219.99 is what percent of 259.99

100%/x%=259.99/219.99
(100/x)*x=(259.99/219.99)*x       - we multiply both sides of the equation by x
100=1.1818264466567*x       - we divide both sides of the equation by (1.1818264466567) to get x
100/1.1818264466567=x
84.614792876649=x
x=84.614792876649

now we have:
219.99 is 84.614792876649% of 259.99