18.45 is what percent of 2440 - 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 2440 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 2440, so we can write it down as 100%=2440.
4. We know, that x% equals 18.45 of the output value, so we can write it down as x%=18.45.
5. Now we have two simple equations:
1) 100%=2440
2) x%=18.45
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%=2440/18.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.45 is what percent of 2440

100%/x%=2440/18.45
(100/x)*x=(2440/18.45)*x       - we multiply both sides of the equation by x
100=132.24932249322*x       - we divide both sides of the equation by (132.24932249322) to get x
100/132.24932249322=x
0.75614754098361=x
x=0.75614754098361

now we have:
18.45 is 0.75614754098361% of 2440