0.58 is what percent of 77.76 - 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 77.76 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 77.76, so we can write it down as 100%=77.76.
4. We know, that x% equals 0.58 of the output value, so we can write it down as x%=0.58.
5. Now we have two simple equations:
1) 100%=77.76
2) x%=0.58
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%=77.76/0.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.58 is what percent of 77.76

100%/x%=77.76/0.58
(100/x)*x=(77.76/0.58)*x       - we multiply both sides of the equation by x
100=134.06896551724*x       - we divide both sides of the equation by (134.06896551724) to get x
100/134.06896551724=x
0.74588477366255=x
x=0.74588477366255

now we have:
0.58 is 0.74588477366255% of 77.76