41.26 is what percent of 701.1 - 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 701.1 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 701.1, so we can write it down as 100%=701.1.
4. We know, that x% equals 41.26 of the output value, so we can write it down as x%=41.26.
5. Now we have two simple equations:
1) 100%=701.1
2) x%=41.26
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%=701.1/41.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.26 is what percent of 701.1

100%/x%=701.1/41.26
(100/x)*x=(701.1/41.26)*x       - we multiply both sides of the equation by x
100=16.992244304411*x       - we divide both sides of the equation by (16.992244304411) to get x
100/16.992244304411=x
5.8850377977464=x
x=5.8850377977464

now we have:
41.26 is 5.8850377977464% of 701.1