456.96 is what percent of 816 - 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 816 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 816, so we can write it down as 100%=816.
4. We know, that x% equals 456.96 of the output value, so we can write it down as x%=456.96.
5. Now we have two simple equations:
1) 100%=816
2) x%=456.96
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%=816/456.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 456.96 is what percent of 816

100%/x%=816/456.96
(100/x)*x=(816/456.96)*x       - we multiply both sides of the equation by x
100=1.7857142857143*x       - we divide both sides of the equation by (1.7857142857143) to get x
100/1.7857142857143=x
56=x
x=56

now we have:
456.96 is 56% of 816