40.84 is what percent of 45 - 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 45 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 45, so we can write it down as 100%=45.
4. We know, that x% equals 40.84 of the output value, so we can write it down as x%=40.84.
5. Now we have two simple equations:
1) 100%=45
2) x%=40.84
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%=45/40.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.84 is what percent of 45

100%/x%=45/40.84
(100/x)*x=(45/40.84)*x       - we multiply both sides of the equation by x
100=1.101860920666*x       - we divide both sides of the equation by (1.101860920666) to get x
100/1.101860920666=x
90.755555555556=x
x=90.755555555556

now we have:
40.84 is 90.755555555556% of 45