1125 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 1125 of the output value, so we can write it down as x%=1125.
5. Now we have two simple equations:
1) 100%=4
2) x%=1125
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%=4/1125
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1125 is what percent of 4

100%/x%=4/1125
(100/x)*x=(4/1125)*x       - we multiply both sides of the equation by x
100=0.0035555555555556*x       - we divide both sides of the equation by (0.0035555555555556) to get x
100/0.0035555555555556=x
28125=x
x=28125

now we have:
1125 is 28125% of 4