405.9 is what percent of 590 - 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 590 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 590, so we can write it down as 100%=590.
4. We know, that x% equals 405.9 of the output value, so we can write it down as x%=405.9.
5. Now we have two simple equations:
1) 100%=590
2) x%=405.9
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%=590/405.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 405.9 is what percent of 590

100%/x%=590/405.9
(100/x)*x=(590/405.9)*x       - we multiply both sides of the equation by x
100=1.4535599901454*x       - we divide both sides of the equation by (1.4535599901454) to get x
100/1.4535599901454=x
68.796610169492=x
x=68.796610169492

now we have:
405.9 is 68.796610169492% of 590