18.41 is what percent of 35 - 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 35 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 35, so we can write it down as 100%=35.
4. We know, that x% equals 18.41 of the output value, so we can write it down as x%=18.41.
5. Now we have two simple equations:
1) 100%=35
2) x%=18.41
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%=35/18.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.41 is what percent of 35

100%/x%=35/18.41
(100/x)*x=(35/18.41)*x       - we multiply both sides of the equation by x
100=1.9011406844106*x       - we divide both sides of the equation by (1.9011406844106) to get x
100/1.9011406844106=x
52.6=x
x=52.6

now we have:
18.41 is 52.6% of 35