43.98 is what percent of 216.19 - 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 216.19 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 216.19, so we can write it down as 100%=216.19.
4. We know, that x% equals 43.98 of the output value, so we can write it down as x%=43.98.
5. Now we have two simple equations:
1) 100%=216.19
2) x%=43.98
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%=216.19/43.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.98 is what percent of 216.19

100%/x%=216.19/43.98
(100/x)*x=(216.19/43.98)*x       - we multiply both sides of the equation by x
100=4.9156434743065*x       - we divide both sides of the equation by (4.9156434743065) to get x
100/4.9156434743065=x
20.343216615015=x
x=20.343216615015

now we have:
43.98 is 20.343216615015% of 216.19