2.8 is what percent of 88.75 - 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 88.75 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 88.75, so we can write it down as 100%=88.75.
4. We know, that x% equals 2.8 of the output value, so we can write it down as x%=2.8.
5. Now we have two simple equations:
1) 100%=88.75
2) x%=2.8
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%=88.75/2.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.8 is what percent of 88.75

100%/x%=88.75/2.8
(100/x)*x=(88.75/2.8)*x       - we multiply both sides of the equation by x
100=31.696428571429*x       - we divide both sides of the equation by (31.696428571429) to get x
100/31.696428571429=x
3.1549295774648=x
x=3.1549295774648

now we have:
2.8 is 3.1549295774648% of 88.75