18.93 is what percent of 83.6 - 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 83.6 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 83.6, so we can write it down as 100%=83.6.
4. We know, that x% equals 18.93 of the output value, so we can write it down as x%=18.93.
5. Now we have two simple equations:
1) 100%=83.6
2) x%=18.93
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%=83.6/18.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.93 is what percent of 83.6

100%/x%=83.6/18.93
(100/x)*x=(83.6/18.93)*x       - we multiply both sides of the equation by x
100=4.4162704701532*x       - we divide both sides of the equation by (4.4162704701532) to get x
100/4.4162704701532=x
22.643540669856=x
x=22.643540669856

now we have:
18.93 is 22.643540669856% of 83.6