40.44 is what percent of 327.99 - 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 327.99 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 327.99, so we can write it down as 100%=327.99.
4. We know, that x% equals 40.44 of the output value, so we can write it down as x%=40.44.
5. Now we have two simple equations:
1) 100%=327.99
2) x%=40.44
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%=327.99/40.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.44 is what percent of 327.99

100%/x%=327.99/40.44
(100/x)*x=(327.99/40.44)*x       - we multiply both sides of the equation by x
100=8.1105341246291*x       - we divide both sides of the equation by (8.1105341246291) to get x
100/8.1105341246291=x
12.329644196469=x
x=12.329644196469

now we have:
40.44 is 12.329644196469% of 327.99