4.59 is what percent of 10.68 - 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 10.68 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 10.68, so we can write it down as 100%=10.68.
4. We know, that x% equals 4.59 of the output value, so we can write it down as x%=4.59.
5. Now we have two simple equations:
1) 100%=10.68
2) x%=4.59
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%=10.68/4.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.59 is what percent of 10.68

100%/x%=10.68/4.59
(100/x)*x=(10.68/4.59)*x       - we multiply both sides of the equation by x
100=2.32679738562*x       - we divide both sides of the equation by (2.32679738562) to get x
100/2.32679738562=x
42.9775280899=x
x=42.9775280899

now we have:
4.59 is 42.9775280899% of 10.68