301.52 is what percent of 1046.5 - 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 1046.5 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 1046.5, so we can write it down as 100%=1046.5.
4. We know, that x% equals 301.52 of the output value, so we can write it down as x%=301.52.
5. Now we have two simple equations:
1) 100%=1046.5
2) x%=301.52
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%=1046.5/301.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 301.52 is what percent of 1046.5

100%/x%=1046.5/301.52
(100/x)*x=(1046.5/301.52)*x       - we multiply both sides of the equation by x
100=3.470748209074*x       - we divide both sides of the equation by (3.470748209074) to get x
100/3.470748209074=x
28.812231247014=x
x=28.812231247014

now we have:
301.52 is 28.812231247014% of 1046.5