109.67 is what percent of 146.23 - 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 146.23 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 146.23, so we can write it down as 100%=146.23.
4. We know, that x% equals 109.67 of the output value, so we can write it down as x%=109.67.
5. Now we have two simple equations:
1) 100%=146.23
2) x%=109.67
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%=146.23/109.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.67 is what percent of 146.23

100%/x%=146.23/109.67
(100/x)*x=(146.23/109.67)*x       - we multiply both sides of the equation by x
100=1.3333637275463*x       - we divide both sides of the equation by (1.3333637275463) to get x
100/1.3333637275463=x
74.998290364494=x
x=74.998290364494

now we have:
109.67 is 74.998290364494% of 146.23