2.875 is what percent of 4 - 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 4 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 4, so we can write it down as 100%=4.
4. We know, that x% equals 2.875 of the output value, so we can write it down as x%=2.875.
5. Now we have two simple equations:
1) 100%=4
2) x%=2.875
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%=4/2.875
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.875 is what percent of 4

100%/x%=4/2.875
(100/x)*x=(4/2.875)*x       - we multiply both sides of the equation by x
100=1.3913043478261*x       - we divide both sides of the equation by (1.3913043478261) to get x
100/1.3913043478261=x
71.875=x
x=71.875

now we have:
2.875 is 71.875% of 4