18 is what percent of 1.149 - 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 1.149 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 1.149, so we can write it down as 100%=1.149.
4. We know, that x% equals 18 of the output value, so we can write it down as x%=18.
5. Now we have two simple equations:
1) 100%=1.149
2) x%=18
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%=1.149/18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18 is what percent of 1.149

100%/x%=1.149/18
(100/x)*x=(1.149/18)*x       - we multiply both sides of the equation by x
100=0.063833333333333*x       - we divide both sides of the equation by (0.063833333333333) to get x
100/0.063833333333333=x
1566.5796344648=x
x=1566.5796344648

now we have:
18 is 1566.5796344648% of 1.149