436.48 is what percent of 570 - 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 570 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 570, so we can write it down as 100%=570.
4. We know, that x% equals 436.48 of the output value, so we can write it down as x%=436.48.
5. Now we have two simple equations:
1) 100%=570
2) x%=436.48
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%=570/436.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 436.48 is what percent of 570

100%/x%=570/436.48
(100/x)*x=(570/436.48)*x       - we multiply both sides of the equation by x
100=1.3059017595308*x       - we divide both sides of the equation by (1.3059017595308) to get x
100/1.3059017595308=x
76.575438596491=x
x=76.575438596491

now we have:
436.48 is 76.575438596491% of 570