41 is what percent of 797 - 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 797 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 797, so we can write it down as 100%=797.
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%=797
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%=797/41
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 797

100%/x%=797/41
(100/x)*x=(797/41)*x       - we multiply both sides of the equation by x
100=19.439024390244*x       - we divide both sides of the equation by (19.439024390244) to get x
100/19.439024390244=x
5.1442910915935=x
x=5.1442910915935

now we have:
41 is 5.1442910915935% of 797