63 is what percent of 2878 - 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 2878 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 2878, so we can write it down as 100%=2878.
4. We know, that x% equals 63 of the output value, so we can write it down as x%=63.
5. Now we have two simple equations:
1) 100%=2878
2) x%=63
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%=2878/63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63 is what percent of 2878

100%/x%=2878/63
(100/x)*x=(2878/63)*x       - we multiply both sides of the equation by x
100=45.68253968254*x       - we divide both sides of the equation by (45.68253968254) to get x
100/45.68253968254=x
2.1890201528839=x
x=2.1890201528839

now we have:
63 is 2.1890201528839% of 2878