28.4 is what percent of 823.97 - 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 823.97 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 823.97, so we can write it down as 100%=823.97.
4. We know, that x% equals 28.4 of the output value, so we can write it down as x%=28.4.
5. Now we have two simple equations:
1) 100%=823.97
2) x%=28.4
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%=823.97/28.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.4 is what percent of 823.97

100%/x%=823.97/28.4
(100/x)*x=(823.97/28.4)*x       - we multiply both sides of the equation by x
100=29.013028169014*x       - we divide both sides of the equation by (29.013028169014) to get x
100/29.013028169014=x
3.4467274293967=x
x=3.4467274293967

now we have:
28.4 is 3.4467274293967% of 823.97