40.97 is what percent of 40.72 - 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 40.72 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 40.72, so we can write it down as 100%=40.72.
4. We know, that x% equals 40.97 of the output value, so we can write it down as x%=40.97.
5. Now we have two simple equations:
1) 100%=40.72
2) x%=40.97
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%=40.72/40.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.97 is what percent of 40.72

100%/x%=40.72/40.97
(100/x)*x=(40.72/40.97)*x       - we multiply both sides of the equation by x
100=0.99389797412741*x       - we divide both sides of the equation by (0.99389797412741) to get x
100/0.99389797412741=x
100.61394891945=x
x=100.61394891945

now we have:
40.97 is 100.61394891945% of 40.72