5.75 is what percent of 9.3 - 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 9.3 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 9.3, so we can write it down as 100%=9.3.
4. We know, that x% equals 5.75 of the output value, so we can write it down as x%=5.75.
5. Now we have two simple equations:
1) 100%=9.3
2) x%=5.75
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%=9.3/5.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.75 is what percent of 9.3

100%/x%=9.3/5.75
(100/x)*x=(9.3/5.75)*x       - we multiply both sides of the equation by x
100=1.6173913043478*x       - we divide both sides of the equation by (1.6173913043478) to get x
100/1.6173913043478=x
61.827956989247=x
x=61.827956989247

now we have:
5.75 is 61.827956989247% of 9.3