1047.5 is what percent of 1304.5 - 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 1304.5 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 1304.5, so we can write it down as 100%=1304.5.
4. We know, that x% equals 1047.5 of the output value, so we can write it down as x%=1047.5.
5. Now we have two simple equations:
1) 100%=1304.5
2) x%=1047.5
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%=1304.5/1047.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1047.5 is what percent of 1304.5

100%/x%=1304.5/1047.5
(100/x)*x=(1304.5/1047.5)*x       - we multiply both sides of the equation by x
100=1.2453460620525*x       - we divide both sides of the equation by (1.2453460620525) to get x
100/1.2453460620525=x
80.298965120736=x
x=80.298965120736

now we have:
1047.5 is 80.298965120736% of 1304.5