1.43 is what percent of 30.8 - 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 30.8 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 30.8, so we can write it down as 100%=30.8.
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%=30.8
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%=30.8/1.43
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 30.8

100%/x%=30.8/1.43
(100/x)*x=(30.8/1.43)*x       - we multiply both sides of the equation by x
100=21.538461538462*x       - we divide both sides of the equation by (21.538461538462) to get x
100/21.538461538462=x
4.6428571428571=x
x=4.6428571428571

now we have:
1.43 is 4.6428571428571% of 30.8