432.44 is what percent of 2882.94 - 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 2882.94 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 2882.94, so we can write it down as 100%=2882.94.
4. We know, that x% equals 432.44 of the output value, so we can write it down as x%=432.44.
5. Now we have two simple equations:
1) 100%=2882.94
2) x%=432.44
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%=2882.94/432.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 432.44 is what percent of 2882.94

100%/x%=2882.94/432.44
(100/x)*x=(2882.94/432.44)*x       - we multiply both sides of the equation by x
100=6.6666820830635*x       - we divide both sides of the equation by (6.6666820830635) to get x
100/6.6666820830635=x
14.999965313187=x
x=14.999965313187

now we have:
432.44 is 14.999965313187% of 2882.94