149.45 is what percent of 1.1868 - 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 1.1868 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 1.1868, so we can write it down as 100%=1.1868.
4. We know, that x% equals 149.45 of the output value, so we can write it down as x%=149.45.
5. Now we have two simple equations:
1) 100%=1.1868
2) x%=149.45
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%=1.1868/149.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.45 is what percent of 1.1868

100%/x%=1.1868/149.45
(100/x)*x=(1.1868/149.45)*x       - we multiply both sides of the equation by x
100=0.0079411174305788*x       - we divide both sides of the equation by (0.0079411174305788) to get x
100/0.0079411174305788=x
12592.686215032=x
x=12592.686215032

now we have:
149.45 is 12592.686215032% of 1.1868