1200.18 is what percent of 3125 - 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 3125 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 3125, so we can write it down as 100%=3125.
4. We know, that x% equals 1200.18 of the output value, so we can write it down as x%=1200.18.
5. Now we have two simple equations:
1) 100%=3125
2) x%=1200.18
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%=3125/1200.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1200.18 is what percent of 3125

100%/x%=3125/1200.18
(100/x)*x=(3125/1200.18)*x       - we multiply both sides of the equation by x
100=2.6037761002516*x       - we divide both sides of the equation by (2.6037761002516) to get x
100/2.6037761002516=x
38.40576=x
x=38.40576

now we have:
1200.18 is 38.40576% of 3125