8.3 is what percent of 46.9375 - 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 46.9375 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 46.9375, so we can write it down as 100%=46.9375.
4. We know, that x% equals 8.3 of the output value, so we can write it down as x%=8.3.
5. Now we have two simple equations:
1) 100%=46.9375
2) x%=8.3
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%=46.9375/8.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.3 is what percent of 46.9375

100%/x%=46.9375/8.3
(100/x)*x=(46.9375/8.3)*x       - we multiply both sides of the equation by x
100=5.6551204819277*x       - we divide both sides of the equation by (5.6551204819277) to get x
100/5.6551204819277=x
17.683089214381=x
x=17.683089214381

now we have:
8.3 is 17.683089214381% of 46.9375