43.67 is what percent of 104.89 - 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 104.89 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 104.89, so we can write it down as 100%=104.89.
4. We know, that x% equals 43.67 of the output value, so we can write it down as x%=43.67.
5. Now we have two simple equations:
1) 100%=104.89
2) x%=43.67
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%=104.89/43.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.67 is what percent of 104.89

100%/x%=104.89/43.67
(100/x)*x=(104.89/43.67)*x       - we multiply both sides of the equation by x
100=2.4018777192581*x       - we divide both sides of the equation by (2.4018777192581) to get x
100/2.4018777192581=x
41.634092859186=x
x=41.634092859186

now we have:
43.67 is 41.634092859186% of 104.89