399.94 is what percent of 550.61 - 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 550.61 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 550.61, so we can write it down as 100%=550.61.
4. We know, that x% equals 399.94 of the output value, so we can write it down as x%=399.94.
5. Now we have two simple equations:
1) 100%=550.61
2) x%=399.94
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%=550.61/399.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 399.94 is what percent of 550.61

100%/x%=550.61/399.94
(100/x)*x=(550.61/399.94)*x       - we multiply both sides of the equation by x
100=1.3767315097265*x       - we divide both sides of the equation by (1.3767315097265) to get x
100/1.3767315097265=x
72.635803926554=x
x=72.635803926554

now we have:
399.94 is 72.635803926554% of 550.61