7 is what percent of 2863 - 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 2863 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 2863, so we can write it down as 100%=2863.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=2863
2) x%=7
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%=2863/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 2863

100%/x%=2863/7
(100/x)*x=(2863/7)*x       - we multiply both sides of the equation by x
100=409*x       - we divide both sides of the equation by (409) to get x
100/409=x
0.24449877750611=x
x=0.24449877750611

now we have:
7 is 0.24449877750611% of 2863