63.78 is what percent of 287.14 - 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 287.14 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 287.14, so we can write it down as 100%=287.14.
4. We know, that x% equals 63.78 of the output value, so we can write it down as x%=63.78.
5. Now we have two simple equations:
1) 100%=287.14
2) x%=63.78
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%=287.14/63.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.78 is what percent of 287.14

100%/x%=287.14/63.78
(100/x)*x=(287.14/63.78)*x       - we multiply both sides of the equation by x
100=4.5020382565067*x       - we divide both sides of the equation by (4.5020382565067) to get x
100/4.5020382565067=x
22.212161315038=x
x=22.212161315038

now we have:
63.78 is 22.212161315038% of 287.14