106.63 is what percent of 733.49 - 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 733.49 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 733.49, so we can write it down as 100%=733.49.
4. We know, that x% equals 106.63 of the output value, so we can write it down as x%=106.63.
5. Now we have two simple equations:
1) 100%=733.49
2) x%=106.63
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%=733.49/106.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.63 is what percent of 733.49

100%/x%=733.49/106.63
(100/x)*x=(733.49/106.63)*x       - we multiply both sides of the equation by x
100=6.8788333489637*x       - we divide both sides of the equation by (6.8788333489637) to get x
100/6.8788333489637=x
14.537348839112=x
x=14.537348839112

now we have:
106.63 is 14.537348839112% of 733.49