14.85 is what percent of 1150.4 - 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 1150.4 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 1150.4, so we can write it down as 100%=1150.4.
4. We know, that x% equals 14.85 of the output value, so we can write it down as x%=14.85.
5. Now we have two simple equations:
1) 100%=1150.4
2) x%=14.85
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%=1150.4/14.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.85 is what percent of 1150.4

100%/x%=1150.4/14.85
(100/x)*x=(1150.4/14.85)*x       - we multiply both sides of the equation by x
100=77.468013468013*x       - we divide both sides of the equation by (77.468013468013) to get x
100/77.468013468013=x
1.2908553546592=x
x=1.2908553546592

now we have:
14.85 is 1.2908553546592% of 1150.4