259.44 is what percent of 399.95 - 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 399.95 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 399.95, so we can write it down as 100%=399.95.
4. We know, that x% equals 259.44 of the output value, so we can write it down as x%=259.44.
5. Now we have two simple equations:
1) 100%=399.95
2) x%=259.44
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%=399.95/259.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 259.44 is what percent of 399.95

100%/x%=399.95/259.44
(100/x)*x=(399.95/259.44)*x       - we multiply both sides of the equation by x
100=1.5415895775516*x       - we divide both sides of the equation by (1.5415895775516) to get x
100/1.5415895775516=x
64.868108513564=x
x=64.868108513564

now we have:
259.44 is 64.868108513564% of 399.95