4.58 is what percent of 7.605 - 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 7.605 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 7.605, so we can write it down as 100%=7.605.
4. We know, that x% equals 4.58 of the output value, so we can write it down as x%=4.58.
5. Now we have two simple equations:
1) 100%=7.605
2) x%=4.58
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%=7.605/4.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.58 is what percent of 7.605

100%/x%=7.605/4.58
(100/x)*x=(7.605/4.58)*x       - we multiply both sides of the equation by x
100=1.660480349345*x       - we divide both sides of the equation by (1.660480349345) to get x
100/1.660480349345=x
60.223537146614=x
x=60.223537146614

now we have:
4.58 is 60.223537146614% of 7.605