46.5 is what percent of 205.75 - 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 205.75 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 205.75, so we can write it down as 100%=205.75.
4. We know, that x% equals 46.5 of the output value, so we can write it down as x%=46.5.
5. Now we have two simple equations:
1) 100%=205.75
2) x%=46.5
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%=205.75/46.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.5 is what percent of 205.75

100%/x%=205.75/46.5
(100/x)*x=(205.75/46.5)*x       - we multiply both sides of the equation by x
100=4.4247311827957*x       - we divide both sides of the equation by (4.4247311827957) to get x
100/4.4247311827957=x
22.600243013366=x
x=22.600243013366

now we have:
46.5 is 22.600243013366% of 205.75