46.06 is what percent of 97.91 - 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 97.91 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 97.91, so we can write it down as 100%=97.91.
4. We know, that x% equals 46.06 of the output value, so we can write it down as x%=46.06.
5. Now we have two simple equations:
1) 100%=97.91
2) x%=46.06
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%=97.91/46.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.06 is what percent of 97.91

100%/x%=97.91/46.06
(100/x)*x=(97.91/46.06)*x       - we multiply both sides of the equation by x
100=2.1257056013895*x       - we divide both sides of the equation by (2.1257056013895) to get x
100/2.1257056013895=x
47.043202941477=x
x=47.043202941477

now we have:
46.06 is 47.043202941477% of 97.91