459.5 is what percent of 823.5 - 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 823.5 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 823.5, so we can write it down as 100%=823.5.
4. We know, that x% equals 459.5 of the output value, so we can write it down as x%=459.5.
5. Now we have two simple equations:
1) 100%=823.5
2) x%=459.5
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%=823.5/459.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 459.5 is what percent of 823.5

100%/x%=823.5/459.5
(100/x)*x=(823.5/459.5)*x       - we multiply both sides of the equation by x
100=1.7921653971708*x       - we divide both sides of the equation by (1.7921653971708) to get x
100/1.7921653971708=x
55.798421372192=x
x=55.798421372192

now we have:
459.5 is 55.798421372192% of 823.5