18.84 is what percent of 202.84 - 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 202.84 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 202.84, so we can write it down as 100%=202.84.
4. We know, that x% equals 18.84 of the output value, so we can write it down as x%=18.84.
5. Now we have two simple equations:
1) 100%=202.84
2) x%=18.84
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%=202.84/18.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.84 is what percent of 202.84

100%/x%=202.84/18.84
(100/x)*x=(202.84/18.84)*x       - we multiply both sides of the equation by x
100=10.766454352442*x       - we divide both sides of the equation by (10.766454352442) to get x
100/10.766454352442=x
9.2881088542694=x
x=9.2881088542694

now we have:
18.84 is 9.2881088542694% of 202.84