285.5 is what percent of 42.82 - 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 42.82 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 42.82, so we can write it down as 100%=42.82.
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%=42.82
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%=42.82/285.5
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 42.82

100%/x%=42.82/285.5
(100/x)*x=(42.82/285.5)*x       - we multiply both sides of the equation by x
100=0.14998248686515*x       - we divide both sides of the equation by (0.14998248686515) to get x
100/0.14998248686515=x
666.74451191032=x
x=666.74451191032

now we have:
285.5 is 666.74451191032% of 42.82