41 is what percent of 3179 - 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 3179 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 3179, so we can write it down as 100%=3179.
4. We know, that x% equals 41 of the output value, so we can write it down as x%=41.
5. Now we have two simple equations:
1) 100%=3179
2) x%=41
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%=3179/41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41 is what percent of 3179

100%/x%=3179/41
(100/x)*x=(3179/41)*x       - we multiply both sides of the equation by x
100=77.536585365854*x       - we divide both sides of the equation by (77.536585365854) to get x
100/77.536585365854=x
1.2897137464612=x
x=1.2897137464612

now we have:
41 is 1.2897137464612% of 3179