146.56 is what percent of 34.268 - 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 34.268 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 34.268, so we can write it down as 100%=34.268.
4. We know, that x% equals 146.56 of the output value, so we can write it down as x%=146.56.
5. Now we have two simple equations:
1) 100%=34.268
2) x%=146.56
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%=34.268/146.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 146.56 is what percent of 34.268

100%/x%=34.268/146.56
(100/x)*x=(34.268/146.56)*x       - we multiply both sides of the equation by x
100=0.23381550218341*x       - we divide both sides of the equation by (0.23381550218341) to get x
100/0.23381550218341=x
427.68763861328=x
x=427.68763861328

now we have:
146.56 is 427.68763861328% of 34.268