182.3 is what percent of 285 - 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 285 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 285, so we can write it down as 100%=285.
4. We know, that x% equals 182.3 of the output value, so we can write it down as x%=182.3.
5. Now we have two simple equations:
1) 100%=285
2) x%=182.3
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%=285/182.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 182.3 is what percent of 285

100%/x%=285/182.3
(100/x)*x=(285/182.3)*x       - we multiply both sides of the equation by x
100=1.5633571036753*x       - we divide both sides of the equation by (1.5633571036753) to get x
100/1.5633571036753=x
63.964912280702=x
x=63.964912280702

now we have:
182.3 is 63.964912280702% of 285