350.69 is what percent of 428.63 - 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 428.63 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 428.63, so we can write it down as 100%=428.63.
4. We know, that x% equals 350.69 of the output value, so we can write it down as x%=350.69.
5. Now we have two simple equations:
1) 100%=428.63
2) x%=350.69
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%=428.63/350.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 350.69 is what percent of 428.63

100%/x%=428.63/350.69
(100/x)*x=(428.63/350.69)*x       - we multiply both sides of the equation by x
100=1.2222475690781*x       - we divide both sides of the equation by (1.2222475690781) to get x
100/1.2222475690781=x
81.816485080372=x
x=81.816485080372

now we have:
350.69 is 81.816485080372% of 428.63