43.88 is what percent of 217.91 - 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 217.91 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 217.91, so we can write it down as 100%=217.91.
4. We know, that x% equals 43.88 of the output value, so we can write it down as x%=43.88.
5. Now we have two simple equations:
1) 100%=217.91
2) x%=43.88
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%=217.91/43.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.88 is what percent of 217.91

100%/x%=217.91/43.88
(100/x)*x=(217.91/43.88)*x       - we multiply both sides of the equation by x
100=4.9660437556974*x       - we divide both sides of the equation by (4.9660437556974) to get x
100/4.9660437556974=x
20.136753705658=x
x=20.136753705658

now we have:
43.88 is 20.136753705658% of 217.91