286.38 is what percent of 445.41 - 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 445.41 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 445.41, so we can write it down as 100%=445.41.
4. We know, that x% equals 286.38 of the output value, so we can write it down as x%=286.38.
5. Now we have two simple equations:
1) 100%=445.41
2) x%=286.38
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%=445.41/286.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 286.38 is what percent of 445.41

100%/x%=445.41/286.38
(100/x)*x=(445.41/286.38)*x       - we multiply both sides of the equation by x
100=1.5553111250786*x       - we divide both sides of the equation by (1.5553111250786) to get x
100/1.5553111250786=x
64.295817336836=x
x=64.295817336836

now we have:
286.38 is 64.295817336836% of 445.41