199.99 is what percent of 239.99 - 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 239.99 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 239.99, so we can write it down as 100%=239.99.
4. We know, that x% equals 199.99 of the output value, so we can write it down as x%=199.99.
5. Now we have two simple equations:
1) 100%=239.99
2) x%=199.99
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%=239.99/199.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.99 is what percent of 239.99

100%/x%=239.99/199.99
(100/x)*x=(239.99/199.99)*x       - we multiply both sides of the equation by x
100=1.2000100005*x       - we divide both sides of the equation by (1.2000100005) to get x
100/1.2000100005=x
83.332638859952=x
x=83.332638859952

now we have:
199.99 is 83.332638859952% of 239.99