149.92 is what percent of 2418.1 - 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 2418.1 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 2418.1, so we can write it down as 100%=2418.1.
4. We know, that x% equals 149.92 of the output value, so we can write it down as x%=149.92.
5. Now we have two simple equations:
1) 100%=2418.1
2) x%=149.92
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%=2418.1/149.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.92 is what percent of 2418.1

100%/x%=2418.1/149.92
(100/x)*x=(2418.1/149.92)*x       - we multiply both sides of the equation by x
100=16.129268943437*x       - we divide both sides of the equation by (16.129268943437) to get x
100/16.129268943437=x
6.1999090194781=x
x=6.1999090194781

now we have:
149.92 is 6.1999090194781% of 2418.1