7.68 is what percent of 45.89 - 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 45.89 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 45.89, so we can write it down as 100%=45.89.
4. We know, that x% equals 7.68 of the output value, so we can write it down as x%=7.68.
5. Now we have two simple equations:
1) 100%=45.89
2) x%=7.68
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%=45.89/7.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.68 is what percent of 45.89

100%/x%=45.89/7.68
(100/x)*x=(45.89/7.68)*x       - we multiply both sides of the equation by x
100=5.97526041667*x       - we divide both sides of the equation by (5.97526041667) to get x
100/5.97526041667=x
16.7356722598=x
x=16.7356722598

now we have:
7.68 is 16.7356722598% of 45.89