399.35 is what percent of 259.58 - 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 259.58 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 259.58, so we can write it down as 100%=259.58.
4. We know, that x% equals 399.35 of the output value, so we can write it down as x%=399.35.
5. Now we have two simple equations:
1) 100%=259.58
2) x%=399.35
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%=259.58/399.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 399.35 is what percent of 259.58

100%/x%=259.58/399.35
(100/x)*x=(259.58/399.35)*x       - we multiply both sides of the equation by x
100=0.65000626017278*x       - we divide both sides of the equation by (0.65000626017278) to get x
100/0.65000626017278=x
153.84467216272=x
x=153.84467216272

now we have:
399.35 is 153.84467216272% of 259.58