41.4 is what percent of 846.1 - 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 846.1 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 846.1, so we can write it down as 100%=846.1.
4. We know, that x% equals 41.4 of the output value, so we can write it down as x%=41.4.
5. Now we have two simple equations:
1) 100%=846.1
2) x%=41.4
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%=846.1/41.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.4 is what percent of 846.1

100%/x%=846.1/41.4
(100/x)*x=(846.1/41.4)*x       - we multiply both sides of the equation by x
100=20.437198067633*x       - we divide both sides of the equation by (20.437198067633) to get x
100/20.437198067633=x
4.893038647914=x
x=4.893038647914

now we have:
41.4 is 4.893038647914% of 846.1