190.5 is what percent of 488.5 - 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 488.5 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 488.5, so we can write it down as 100%=488.5.
4. We know, that x% equals 190.5 of the output value, so we can write it down as x%=190.5.
5. Now we have two simple equations:
1) 100%=488.5
2) x%=190.5
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%=488.5/190.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 190.5 is what percent of 488.5

100%/x%=488.5/190.5
(100/x)*x=(488.5/190.5)*x       - we multiply both sides of the equation by x
100=2.5643044619423*x       - we divide both sides of the equation by (2.5643044619423) to get x
100/2.5643044619423=x
38.99692937564=x
x=38.99692937564

now we have:
190.5 is 38.99692937564% of 488.5