828.96 is what percent of 1916.24 - 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 1916.24 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 1916.24, so we can write it down as 100%=1916.24.
4. We know, that x% equals 828.96 of the output value, so we can write it down as x%=828.96.
5. Now we have two simple equations:
1) 100%=1916.24
2) x%=828.96
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%=1916.24/828.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 828.96 is what percent of 1916.24

100%/x%=1916.24/828.96
(100/x)*x=(1916.24/828.96)*x       - we multiply both sides of the equation by x
100=2.3116193784984*x       - we divide both sides of the equation by (2.3116193784984) to get x
100/2.3116193784984=x
43.259716945685=x
x=43.259716945685

now we have:
828.96 is 43.259716945685% of 1916.24