11.45 is what percent of 327.06 - 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 327.06 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 327.06, so we can write it down as 100%=327.06.
4. We know, that x% equals 11.45 of the output value, so we can write it down as x%=11.45.
5. Now we have two simple equations:
1) 100%=327.06
2) x%=11.45
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%=327.06/11.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.45 is what percent of 327.06

100%/x%=327.06/11.45
(100/x)*x=(327.06/11.45)*x       - we multiply both sides of the equation by x
100=28.564192139738*x       - we divide both sides of the equation by (28.564192139738) to get x
100/28.564192139738=x
3.500886687458=x
x=3.500886687458

now we have:
11.45 is 3.500886687458% of 327.06