18.9 is what percent of 97.66 - 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 97.66 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 97.66, so we can write it down as 100%=97.66.
4. We know, that x% equals 18.9 of the output value, so we can write it down as x%=18.9.
5. Now we have two simple equations:
1) 100%=97.66
2) x%=18.9
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%=97.66/18.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.9 is what percent of 97.66

100%/x%=97.66/18.9
(100/x)*x=(97.66/18.9)*x       - we multiply both sides of the equation by x
100=5.1671957671958*x       - we divide both sides of the equation by (5.1671957671958) to get x
100/5.1671957671958=x
19.352856850297=x
x=19.352856850297

now we have:
18.9 is 19.352856850297% of 97.66