4.69 is what percent of 22.99 - 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 22.99 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 22.99, so we can write it down as 100%=22.99.
4. We know, that x% equals 4.69 of the output value, so we can write it down as x%=4.69.
5. Now we have two simple equations:
1) 100%=22.99
2) x%=4.69
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%=22.99/4.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.69 is what percent of 22.99

100%/x%=22.99/4.69
(100/x)*x=(22.99/4.69)*x       - we multiply both sides of the equation by x
100=4.9019189765458*x       - we divide both sides of the equation by (4.9019189765458) to get x
100/4.9019189765458=x
20.400173988691=x
x=20.400173988691

now we have:
4.69 is 20.400173988691% of 22.99