40.24 is what percent of 68.99 - 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 68.99 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 68.99, so we can write it down as 100%=68.99.
4. We know, that x% equals 40.24 of the output value, so we can write it down as x%=40.24.
5. Now we have two simple equations:
1) 100%=68.99
2) x%=40.24
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%=68.99/40.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.24 is what percent of 68.99

100%/x%=68.99/40.24
(100/x)*x=(68.99/40.24)*x       - we multiply both sides of the equation by x
100=1.7144632206759*x       - we divide both sides of the equation by (1.7144632206759) to get x
100/1.7144632206759=x
58.327293810697=x
x=58.327293810697

now we have:
40.24 is 58.327293810697% of 68.99