14.3 is what percent of 15.8 - 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 15.8 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 15.8, so we can write it down as 100%=15.8.
4. We know, that x% equals 14.3 of the output value, so we can write it down as x%=14.3.
5. Now we have two simple equations:
1) 100%=15.8
2) x%=14.3
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%=15.8/14.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.3 is what percent of 15.8

100%/x%=15.8/14.3
(100/x)*x=(15.8/14.3)*x       - we multiply both sides of the equation by x
100=1.1048951048951*x       - we divide both sides of the equation by (1.1048951048951) to get x
100/1.1048951048951=x
90.506329113924=x
x=90.506329113924

now we have:
14.3 is 90.506329113924% of 15.8