146.14 is what percent of 204.6 - 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 204.6 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 204.6, so we can write it down as 100%=204.6.
4. We know, that x% equals 146.14 of the output value, so we can write it down as x%=146.14.
5. Now we have two simple equations:
1) 100%=204.6
2) x%=146.14
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%=204.6/146.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 146.14 is what percent of 204.6

100%/x%=204.6/146.14
(100/x)*x=(204.6/146.14)*x       - we multiply both sides of the equation by x
100=1.4000273710141*x       - we divide both sides of the equation by (1.4000273710141) to get x
100/1.4000273710141=x
71.427174975562=x
x=71.427174975562

now we have:
146.14 is 71.427174975562% of 204.6