146.41 is what percent of 735.51 - 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 735.51 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 735.51, so we can write it down as 100%=735.51.
4. We know, that x% equals 146.41 of the output value, so we can write it down as x%=146.41.
5. Now we have two simple equations:
1) 100%=735.51
2) x%=146.41
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%=735.51/146.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 146.41 is what percent of 735.51

100%/x%=735.51/146.41
(100/x)*x=(735.51/146.41)*x       - we multiply both sides of the equation by x
100=5.0236322655556*x       - we divide both sides of the equation by (5.0236322655556) to get x
100/5.0236322655556=x
19.905915623173=x
x=19.905915623173

now we have:
146.41 is 19.905915623173% of 735.51