193.6 is what percent of 20 - 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 20 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 20, so we can write it down as 100%=20.
4. We know, that x% equals 193.6 of the output value, so we can write it down as x%=193.6.
5. Now we have two simple equations:
1) 100%=20
2) x%=193.6
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%=20/193.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 193.6 is what percent of 20

100%/x%=20/193.6
(100/x)*x=(20/193.6)*x       - we multiply both sides of the equation by x
100=0.10330578512397*x       - we divide both sides of the equation by (0.10330578512397) to get x
100/0.10330578512397=x
968=x
x=968

now we have:
193.6 is 968% of 20