99.41 is what percent of 146.32 - 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 146.32 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 146.32, so we can write it down as 100%=146.32.
4. We know, that x% equals 99.41 of the output value, so we can write it down as x%=99.41.
5. Now we have two simple equations:
1) 100%=146.32
2) x%=99.41
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%=146.32/99.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.41 is what percent of 146.32

100%/x%=146.32/99.41
(100/x)*x=(146.32/99.41)*x       - we multiply both sides of the equation by x
100=1.4718841162861*x       - we divide both sides of the equation by (1.4718841162861) to get x
100/1.4718841162861=x
67.940131219245=x
x=67.940131219245

now we have:
99.41 is 67.940131219245% of 146.32