599.99 is what percent of 799.99 - 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 799.99 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 799.99, so we can write it down as 100%=799.99.
4. We know, that x% equals 599.99 of the output value, so we can write it down as x%=599.99.
5. Now we have two simple equations:
1) 100%=799.99
2) x%=599.99
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%=799.99/599.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 599.99 is what percent of 799.99

100%/x%=799.99/599.99
(100/x)*x=(799.99/599.99)*x       - we multiply both sides of the equation by x
100=1.3333388889815*x       - we divide both sides of the equation by (1.3333388889815) to get x
100/1.3333388889815=x
74.999687496094=x
x=74.999687496094

now we have:
599.99 is 74.999687496094% of 799.99