146.3 is what percent of 155 - 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 155 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 155, so we can write it down as 100%=155.
4. We know, that x% equals 146.3 of the output value, so we can write it down as x%=146.3.
5. Now we have two simple equations:
1) 100%=155
2) x%=146.3
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%=155/146.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 146.3 is what percent of 155

100%/x%=155/146.3
(100/x)*x=(155/146.3)*x       - we multiply both sides of the equation by x
100=1.0594668489405*x       - we divide both sides of the equation by (1.0594668489405) to get x
100/1.0594668489405=x
94.387096774194=x
x=94.387096774194

now we have:
146.3 is 94.387096774194% of 155