40.92 is what percent of 7.49 - 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 7.49 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 7.49, so we can write it down as 100%=7.49.
4. We know, that x% equals 40.92 of the output value, so we can write it down as x%=40.92.
5. Now we have two simple equations:
1) 100%=7.49
2) x%=40.92
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%=7.49/40.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.92 is what percent of 7.49

100%/x%=7.49/40.92
(100/x)*x=(7.49/40.92)*x       - we multiply both sides of the equation by x
100=0.18304007820137*x       - we divide both sides of the equation by (0.18304007820137) to get x
100/0.18304007820137=x
546.32843791722=x
x=546.32843791722

now we have:
40.92 is 546.32843791722% of 7.49