19.99 is what percent of 34.49 - 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 34.49 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 34.49, so we can write it down as 100%=34.49.
4. We know, that x% equals 19.99 of the output value, so we can write it down as x%=19.99.
5. Now we have two simple equations:
1) 100%=34.49
2) x%=19.99
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%=34.49/19.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.99 is what percent of 34.49

100%/x%=34.49/19.99
(100/x)*x=(34.49/19.99)*x       - we multiply both sides of the equation by x
100=1.7253626813407*x       - we divide both sides of the equation by (1.7253626813407) to get x
100/1.7253626813407=x
57.958828645984=x
x=57.958828645984

now we have:
19.99 is 57.958828645984% of 34.49