46 is what percent of 12100 - 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 12100 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 12100, so we can write it down as 100%=12100.
4. We know, that x% equals 46 of the output value, so we can write it down as x%=46.
5. Now we have two simple equations:
1) 100%=12100
2) x%=46
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%=12100/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46 is what percent of 12100

100%/x%=12100/46
(100/x)*x=(12100/46)*x       - we multiply both sides of the equation by x
100=263.04347826087*x       - we divide both sides of the equation by (263.04347826087) to get x
100/263.04347826087=x
0.3801652892562=x
x=0.3801652892562

now we have:
46 is 0.3801652892562% of 12100