46.1 is what percent of 98.3 - 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 98.3 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 98.3, so we can write it down as 100%=98.3.
4. We know, that x% equals 46.1 of the output value, so we can write it down as x%=46.1.
5. Now we have two simple equations:
1) 100%=98.3
2) x%=46.1
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%=98.3/46.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.1 is what percent of 98.3

100%/x%=98.3/46.1
(100/x)*x=(98.3/46.1)*x       - we multiply both sides of the equation by x
100=2.1323210412148*x       - we divide both sides of the equation by (2.1323210412148) to get x
100/2.1323210412148=x
46.897253306205=x
x=46.897253306205

now we have:
46.1 is 46.897253306205% of 98.3