154.46 is what percent of 1115 - 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 1115 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 1115, so we can write it down as 100%=1115.
4. We know, that x% equals 154.46 of the output value, so we can write it down as x%=154.46.
5. Now we have two simple equations:
1) 100%=1115
2) x%=154.46
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%=1115/154.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 154.46 is what percent of 1115

100%/x%=1115/154.46
(100/x)*x=(1115/154.46)*x       - we multiply both sides of the equation by x
100=7.2186973973844*x       - we divide both sides of the equation by (7.2186973973844) to get x
100/7.2186973973844=x
13.852914798206=x
x=13.852914798206

now we have:
154.46 is 13.852914798206% of 1115