11.4 is what percent of 45000 - 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 45000 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 45000, so we can write it down as 100%=45000.
4. We know, that x% equals 11.4 of the output value, so we can write it down as x%=11.4.
5. Now we have two simple equations:
1) 100%=45000
2) x%=11.4
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%=45000/11.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.4 is what percent of 45000

100%/x%=45000/11.4
(100/x)*x=(45000/11.4)*x       - we multiply both sides of the equation by x
100=3947.3684210526*x       - we divide both sides of the equation by (3947.3684210526) to get x
100/3947.3684210526=x
0.025333333333333=x
x=0.025333333333333

now we have:
11.4 is 0.025333333333333% of 45000