146.43 is what percent of 263.47 - 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 263.47 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 263.47, so we can write it down as 100%=263.47.
4. We know, that x% equals 146.43 of the output value, so we can write it down as x%=146.43.
5. Now we have two simple equations:
1) 100%=263.47
2) x%=146.43
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%=263.47/146.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 146.43 is what percent of 263.47

100%/x%=263.47/146.43
(100/x)*x=(263.47/146.43)*x       - we multiply both sides of the equation by x
100=1.7992897630267*x       - we divide both sides of the equation by (1.7992897630267) to get x
100/1.7992897630267=x
55.577485102668=x
x=55.577485102668

now we have:
146.43 is 55.577485102668% of 263.47