4.61 is what percent of 19.99 - 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 19.99 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 19.99, so we can write it down as 100%=19.99.
4. We know, that x% equals 4.61 of the output value, so we can write it down as x%=4.61.
5. Now we have two simple equations:
1) 100%=19.99
2) x%=4.61
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%=19.99/4.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.61 is what percent of 19.99

100%/x%=19.99/4.61
(100/x)*x=(19.99/4.61)*x       - we multiply both sides of the equation by x
100=4.3362255965293*x       - we divide both sides of the equation by (4.3362255965293) to get x
100/4.3362255965293=x
23.061530765383=x
x=23.061530765383

now we have:
4.61 is 23.061530765383% of 19.99