74.42 is what percent of 89.68 - 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 89.68 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 89.68, so we can write it down as 100%=89.68.
4. We know, that x% equals 74.42 of the output value, so we can write it down as x%=74.42.
5. Now we have two simple equations:
1) 100%=89.68
2) x%=74.42
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%=89.68/74.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.42 is what percent of 89.68

100%/x%=89.68/74.42
(100/x)*x=(89.68/74.42)*x       - we multiply both sides of the equation by x
100=1.2050524052674*x       - we divide both sides of the equation by (1.2050524052674) to get x
100/1.2050524052674=x
82.983942908118=x
x=82.983942908118

now we have:
74.42 is 82.983942908118% of 89.68