140.4 is what percent of 285.95 - 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 285.95 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 285.95, so we can write it down as 100%=285.95.
4. We know, that x% equals 140.4 of the output value, so we can write it down as x%=140.4.
5. Now we have two simple equations:
1) 100%=285.95
2) x%=140.4
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%=285.95/140.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 140.4 is what percent of 285.95

100%/x%=285.95/140.4
(100/x)*x=(285.95/140.4)*x       - we multiply both sides of the equation by x
100=2.0366809116809*x       - we divide both sides of the equation by (2.0366809116809) to get x
100/2.0366809116809=x
49.099492918342=x
x=49.099492918342

now we have:
140.4 is 49.099492918342% of 285.95