490.36 is what percent of 730.94 - 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 730.94 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 730.94, so we can write it down as 100%=730.94.
4. We know, that x% equals 490.36 of the output value, so we can write it down as x%=490.36.
5. Now we have two simple equations:
1) 100%=730.94
2) x%=490.36
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%=730.94/490.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 490.36 is what percent of 730.94

100%/x%=730.94/490.36
(100/x)*x=(730.94/490.36)*x       - we multiply both sides of the equation by x
100=1.4906191369606*x       - we divide both sides of the equation by (1.4906191369606) to get x
100/1.4906191369606=x
67.086217747011=x
x=67.086217747011

now we have:
490.36 is 67.086217747011% of 730.94