149.48 is what percent of 1908.01 - 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 1908.01 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 1908.01, so we can write it down as 100%=1908.01.
4. We know, that x% equals 149.48 of the output value, so we can write it down as x%=149.48.
5. Now we have two simple equations:
1) 100%=1908.01
2) x%=149.48
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%=1908.01/149.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.48 is what percent of 1908.01

100%/x%=1908.01/149.48
(100/x)*x=(1908.01/149.48)*x       - we multiply both sides of the equation by x
100=12.764316296495*x       - we divide both sides of the equation by (12.764316296495) to get x
100/12.764316296495=x
7.8343404908779=x
x=7.8343404908779

now we have:
149.48 is 7.8343404908779% of 1908.01