36.43 is what percent of 29.22 - 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 29.22 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 29.22, so we can write it down as 100%=29.22.
4. We know, that x% equals 36.43 of the output value, so we can write it down as x%=36.43.
5. Now we have two simple equations:
1) 100%=29.22
2) x%=36.43
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%=29.22/36.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.43 is what percent of 29.22

100%/x%=29.22/36.43
(100/x)*x=(29.22/36.43)*x       - we multiply both sides of the equation by x
100=0.80208619269833*x       - we divide both sides of the equation by (0.80208619269833) to get x
100/0.80208619269833=x
124.67488021903=x
x=124.67488021903

now we have:
36.43 is 124.67488021903% of 29.22