18.67 is what percent of 83.23 - 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 83.23 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 83.23, so we can write it down as 100%=83.23.
4. We know, that x% equals 18.67 of the output value, so we can write it down as x%=18.67.
5. Now we have two simple equations:
1) 100%=83.23
2) x%=18.67
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%=83.23/18.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.67 is what percent of 83.23

100%/x%=83.23/18.67
(100/x)*x=(83.23/18.67)*x       - we multiply both sides of the equation by x
100=4.457953936797*x       - we divide both sides of the equation by (4.457953936797) to get x
100/4.457953936797=x
22.431815451159=x
x=22.431815451159

now we have:
18.67 is 22.431815451159% of 83.23