78.5 is what percent of 183 - 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 183 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 183, so we can write it down as 100%=183.
4. We know, that x% equals 78.5 of the output value, so we can write it down as x%=78.5.
5. Now we have two simple equations:
1) 100%=183
2) x%=78.5
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%=183/78.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.5 is what percent of 183

100%/x%=183/78.5
(100/x)*x=(183/78.5)*x       - we multiply both sides of the equation by x
100=2.3312101910828*x       - we divide both sides of the equation by (2.3312101910828) to get x
100/2.3312101910828=x
42.896174863388=x
x=42.896174863388

now we have:
78.5 is 42.896174863388% of 183