285.5 is what percent of 355 - 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 355 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 355, so we can write it down as 100%=355.
4. We know, that x% equals 285.5 of the output value, so we can write it down as x%=285.5.
5. Now we have two simple equations:
1) 100%=355
2) x%=285.5
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%=355/285.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 285.5 is what percent of 355

100%/x%=355/285.5
(100/x)*x=(355/285.5)*x       - we multiply both sides of the equation by x
100=1.2434325744308*x       - we divide both sides of the equation by (1.2434325744308) to get x
100/1.2434325744308=x
80.422535211268=x
x=80.422535211268

now we have:
285.5 is 80.422535211268% of 355