19.4 is what percent of 89 - 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 89 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 89, so we can write it down as 100%=89.
4. We know, that x% equals 19.4 of the output value, so we can write it down as x%=19.4.
5. Now we have two simple equations:
1) 100%=89
2) x%=19.4
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%=89/19.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.4 is what percent of 89

100%/x%=89/19.4
(100/x)*x=(89/19.4)*x       - we multiply both sides of the equation by x
100=4.5876288659794*x       - we divide both sides of the equation by (4.5876288659794) to get x
100/4.5876288659794=x
21.797752808989=x
x=21.797752808989

now we have:
19.4 is 21.797752808989% of 89