43.6 is what percent of 46.51 - 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 46.51 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 46.51, so we can write it down as 100%=46.51.
4. We know, that x% equals 43.6 of the output value, so we can write it down as x%=43.6.
5. Now we have two simple equations:
1) 100%=46.51
2) x%=43.6
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%=46.51/43.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.6 is what percent of 46.51

100%/x%=46.51/43.6
(100/x)*x=(46.51/43.6)*x       - we multiply both sides of the equation by x
100=1.0667431192661*x       - we divide both sides of the equation by (1.0667431192661) to get x
100/1.0667431192661=x
93.743281014836=x
x=93.743281014836

now we have:
43.6 is 93.743281014836% of 46.51