0.73 is what percent of 8.08 - 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 8.08 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 8.08, so we can write it down as 100%=8.08.
4. We know, that x% equals 0.73 of the output value, so we can write it down as x%=0.73.
5. Now we have two simple equations:
1) 100%=8.08
2) x%=0.73
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%=8.08/0.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.73 is what percent of 8.08

100%/x%=8.08/0.73
(100/x)*x=(8.08/0.73)*x       - we multiply both sides of the equation by x
100=11.068493150685*x       - we divide both sides of the equation by (11.068493150685) to get x
100/11.068493150685=x
9.0346534653465=x
x=9.0346534653465

now we have:
0.73 is 9.0346534653465% of 8.08