15.94 is what percent of 219.98 - 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 219.98 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 219.98, so we can write it down as 100%=219.98.
4. We know, that x% equals 15.94 of the output value, so we can write it down as x%=15.94.
5. Now we have two simple equations:
1) 100%=219.98
2) x%=15.94
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%=219.98/15.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.94 is what percent of 219.98

100%/x%=219.98/15.94
(100/x)*x=(219.98/15.94)*x       - we multiply both sides of the equation by x
100=13.800501882058*x       - we divide both sides of the equation by (13.800501882058) to get x
100/13.800501882058=x
7.2461132830257=x
x=7.2461132830257

now we have:
15.94 is 7.2461132830257% of 219.98