146.1 is what percent of 155.01 - 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 155.01 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 155.01, so we can write it down as 100%=155.01.
4. We know, that x% equals 146.1 of the output value, so we can write it down as x%=146.1.
5. Now we have two simple equations:
1) 100%=155.01
2) x%=146.1
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%=155.01/146.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 146.1 is what percent of 155.01

100%/x%=155.01/146.1
(100/x)*x=(155.01/146.1)*x       - we multiply both sides of the equation by x
100=1.0609856262834*x       - we divide both sides of the equation by (1.0609856262834) to get x
100/1.0609856262834=x
94.251983742984=x
x=94.251983742984

now we have:
146.1 is 94.251983742984% of 155.01