45.18 is what percent of 209.85 - 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 209.85 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 209.85, so we can write it down as 100%=209.85.
4. We know, that x% equals 45.18 of the output value, so we can write it down as x%=45.18.
5. Now we have two simple equations:
1) 100%=209.85
2) x%=45.18
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%=209.85/45.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.18 is what percent of 209.85

100%/x%=209.85/45.18
(100/x)*x=(209.85/45.18)*x       - we multiply both sides of the equation by x
100=4.6447543160691*x       - we divide both sides of the equation by (4.6447543160691) to get x
100/4.6447543160691=x
21.529664045747=x
x=21.529664045747

now we have:
45.18 is 21.529664045747% of 209.85