0.77 is what percent of 10.58 - 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 10.58 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 10.58, so we can write it down as 100%=10.58.
4. We know, that x% equals 0.77 of the output value, so we can write it down as x%=0.77.
5. Now we have two simple equations:
1) 100%=10.58
2) x%=0.77
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%=10.58/0.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.77 is what percent of 10.58

100%/x%=10.58/0.77
(100/x)*x=(10.58/0.77)*x       - we multiply both sides of the equation by x
100=13.74025974026*x       - we divide both sides of the equation by (13.74025974026) to get x
100/13.74025974026=x
7.2778827977316=x
x=7.2778827977316

now we have:
0.77 is 7.2778827977316% of 10.58