1.43 is what percent of 37.23 - 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 37.23 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 37.23, so we can write it down as 100%=37.23.
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%=37.23
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%=37.23/1.43
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 37.23

100%/x%=37.23/1.43
(100/x)*x=(37.23/1.43)*x       - we multiply both sides of the equation by x
100=26.034965034965*x       - we divide both sides of the equation by (26.034965034965) to get x
100/26.034965034965=x
3.8409884501746=x
x=3.8409884501746

now we have:
1.43 is 3.8409884501746% of 37.23