20.18 is what percent of 60.53 - 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 60.53 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 60.53, so we can write it down as 100%=60.53.
4. We know, that x% equals 20.18 of the output value, so we can write it down as x%=20.18.
5. Now we have two simple equations:
1) 100%=60.53
2) x%=20.18
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%=60.53/20.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.18 is what percent of 60.53

100%/x%=60.53/20.18
(100/x)*x=(60.53/20.18)*x       - we multiply both sides of the equation by x
100=2.9995044598612*x       - we divide both sides of the equation by (2.9995044598612) to get x
100/2.9995044598612=x
33.338840244507=x
x=33.338840244507

now we have:
20.18 is 33.338840244507% of 60.53