185.78 is what percent of 829.5 - 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 829.5 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 829.5, so we can write it down as 100%=829.5.
4. We know, that x% equals 185.78 of the output value, so we can write it down as x%=185.78.
5. Now we have two simple equations:
1) 100%=829.5
2) x%=185.78
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%=829.5/185.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 185.78 is what percent of 829.5

100%/x%=829.5/185.78
(100/x)*x=(829.5/185.78)*x       - we multiply both sides of the equation by x
100=4.4649585531274*x       - we divide both sides of the equation by (4.4649585531274) to get x
100/4.4649585531274=x
22.396624472574=x
x=22.396624472574

now we have:
185.78 is 22.396624472574% of 829.5