19.29 is what percent of 159.47 - 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 159.47 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 159.47, so we can write it down as 100%=159.47.
4. We know, that x% equals 19.29 of the output value, so we can write it down as x%=19.29.
5. Now we have two simple equations:
1) 100%=159.47
2) x%=19.29
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%=159.47/19.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.29 is what percent of 159.47

100%/x%=159.47/19.29
(100/x)*x=(159.47/19.29)*x       - we multiply both sides of the equation by x
100=8.2669777086573*x       - we divide both sides of the equation by (8.2669777086573) to get x
100/8.2669777086573=x
12.096319056876=x
x=12.096319056876

now we have:
19.29 is 12.096319056876% of 159.47