8.3 is what percent of 10.57 - 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 10.57 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 10.57, so we can write it down as 100%=10.57.
4. We know, that x% equals 8.3 of the output value, so we can write it down as x%=8.3.
5. Now we have two simple equations:
1) 100%=10.57
2) x%=8.3
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%=10.57/8.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.3 is what percent of 10.57

100%/x%=10.57/8.3
(100/x)*x=(10.57/8.3)*x       - we multiply both sides of the equation by x
100=1.2734939759036*x       - we divide both sides of the equation by (1.2734939759036) to get x
100/1.2734939759036=x
78.524124881741=x
x=78.524124881741

now we have:
8.3 is 78.524124881741% of 10.57