1.43 is what percent of 18.57 - 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 18.57 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 18.57, so we can write it down as 100%=18.57.
4. We know, that x% equals 1.43 of the output value, so we can write it down as x%=1.43.
5. Now we have two simple equations:
1) 100%=18.57
2) x%=1.43
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%=18.57/1.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.43 is what percent of 18.57

100%/x%=18.57/1.43
(100/x)*x=(18.57/1.43)*x       - we multiply both sides of the equation by x
100=12.986013986014*x       - we divide both sides of the equation by (12.986013986014) to get x
100/12.986013986014=x
7.7005923532579=x
x=7.7005923532579

now we have:
1.43 is 7.7005923532579% of 18.57