599.4 is what percent of 688 - 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 688 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 688, so we can write it down as 100%=688.
4. We know, that x% equals 599.4 of the output value, so we can write it down as x%=599.4.
5. Now we have two simple equations:
1) 100%=688
2) x%=599.4
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%=688/599.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 599.4 is what percent of 688

100%/x%=688/599.4
(100/x)*x=(688/599.4)*x       - we multiply both sides of the equation by x
100=1.1478144811478*x       - we divide both sides of the equation by (1.1478144811478) to get x
100/1.1478144811478=x
87.122093023256=x
x=87.122093023256

now we have:
599.4 is 87.122093023256% of 688