40.43 is what percent of 39.96 - 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 39.96 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 39.96, so we can write it down as 100%=39.96.
4. We know, that x% equals 40.43 of the output value, so we can write it down as x%=40.43.
5. Now we have two simple equations:
1) 100%=39.96
2) x%=40.43
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%=39.96/40.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.43 is what percent of 39.96

100%/x%=39.96/40.43
(100/x)*x=(39.96/40.43)*x       - we multiply both sides of the equation by x
100=0.98837496908236*x       - we divide both sides of the equation by (0.98837496908236) to get x
100/0.98837496908236=x
101.17617617618=x
x=101.17617617618

now we have:
40.43 is 101.17617617618% of 39.96