10.73 is what percent of 390.82 - 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 390.82 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 390.82, so we can write it down as 100%=390.82.
4. We know, that x% equals 10.73 of the output value, so we can write it down as x%=10.73.
5. Now we have two simple equations:
1) 100%=390.82
2) x%=10.73
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%=390.82/10.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.73 is what percent of 390.82

100%/x%=390.82/10.73
(100/x)*x=(390.82/10.73)*x       - we multiply both sides of the equation by x
100=36.42311276794*x       - we divide both sides of the equation by (36.42311276794) to get x
100/36.42311276794=x
2.7455094416867=x
x=2.7455094416867

now we have:
10.73 is 2.7455094416867% of 390.82