4.29 is what percent of 20.19 - 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 20.19 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 20.19, so we can write it down as 100%=20.19.
4. We know, that x% equals 4.29 of the output value, so we can write it down as x%=4.29.
5. Now we have two simple equations:
1) 100%=20.19
2) x%=4.29
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%=20.19/4.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.29 is what percent of 20.19

100%/x%=20.19/4.29
(100/x)*x=(20.19/4.29)*x       - we multiply both sides of the equation by x
100=4.7062937062937*x       - we divide both sides of the equation by (4.7062937062937) to get x
100/4.7062937062937=x
21.248142644874=x
x=21.248142644874

now we have:
4.29 is 21.248142644874% of 20.19