576.96 is what percent of 1824.96 - 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 1824.96 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 1824.96, so we can write it down as 100%=1824.96.
4. We know, that x% equals 576.96 of the output value, so we can write it down as x%=576.96.
5. Now we have two simple equations:
1) 100%=1824.96
2) x%=576.96
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%=1824.96/576.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 576.96 is what percent of 1824.96

100%/x%=1824.96/576.96
(100/x)*x=(1824.96/576.96)*x       - we multiply both sides of the equation by x
100=3.1630615640599*x       - we divide both sides of the equation by (3.1630615640599) to get x
100/3.1630615640599=x
31.614939505523=x
x=31.614939505523

now we have:
576.96 is 31.614939505523% of 1824.96