143.69 is what percent of 723.69 - 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 723.69 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 723.69, so we can write it down as 100%=723.69.
4. We know, that x% equals 143.69 of the output value, so we can write it down as x%=143.69.
5. Now we have two simple equations:
1) 100%=723.69
2) x%=143.69
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%=723.69/143.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 143.69 is what percent of 723.69

100%/x%=723.69/143.69
(100/x)*x=(723.69/143.69)*x       - we multiply both sides of the equation by x
100=5.0364673950866*x       - we divide both sides of the equation by (5.0364673950866) to get x
100/5.0364673950866=x
19.855186613053=x
x=19.855186613053

now we have:
143.69 is 19.855186613053% of 723.69