134.65 is what percent of 146.26 - 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 146.26 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 146.26, so we can write it down as 100%=146.26.
4. We know, that x% equals 134.65 of the output value, so we can write it down as x%=134.65.
5. Now we have two simple equations:
1) 100%=146.26
2) x%=134.65
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%=146.26/134.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 134.65 is what percent of 146.26

100%/x%=146.26/134.65
(100/x)*x=(146.26/134.65)*x       - we multiply both sides of the equation by x
100=1.0862235425176*x       - we divide both sides of the equation by (1.0862235425176) to get x
100/1.0862235425176=x
92.062081225215=x
x=92.062081225215

now we have:
134.65 is 92.062081225215% of 146.26