2.36 is what percent of 0.41 - 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 0.41 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 0.41, so we can write it down as 100%=0.41.
4. We know, that x% equals 2.36 of the output value, so we can write it down as x%=2.36.
5. Now we have two simple equations:
1) 100%=0.41
2) x%=2.36
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%=0.41/2.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.36 is what percent of 0.41

100%/x%=0.41/2.36
(100/x)*x=(0.41/2.36)*x       - we multiply both sides of the equation by x
100=0.17372881355932*x       - we divide both sides of the equation by (0.17372881355932) to get x
100/0.17372881355932=x
575.60975609756=x
x=575.60975609756

now we have:
2.36 is 575.60975609756% of 0.41