148.67 is what percent of 328.05 - 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 328.05 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 328.05, so we can write it down as 100%=328.05.
4. We know, that x% equals 148.67 of the output value, so we can write it down as x%=148.67.
5. Now we have two simple equations:
1) 100%=328.05
2) x%=148.67
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%=328.05/148.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.67 is what percent of 328.05

100%/x%=328.05/148.67
(100/x)*x=(328.05/148.67)*x       - we multiply both sides of the equation by x
100=2.206564875227*x       - we divide both sides of the equation by (2.206564875227) to get x
100/2.206564875227=x
45.319311080628=x
x=45.319311080628

now we have:
148.67 is 45.319311080628% of 328.05