19.2 is what percent of 299 - 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 299 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 299, so we can write it down as 100%=299.
4. We know, that x% equals 19.2 of the output value, so we can write it down as x%=19.2.
5. Now we have two simple equations:
1) 100%=299
2) x%=19.2
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%=299/19.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.2 is what percent of 299

100%/x%=299/19.2
(100/x)*x=(299/19.2)*x       - we multiply both sides of the equation by x
100=15.572916666667*x       - we divide both sides of the equation by (15.572916666667) to get x
100/15.572916666667=x
6.4214046822742=x
x=6.4214046822742

now we have:
19.2 is 6.4214046822742% of 299