36.22 is what percent of 245.44 - 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 245.44 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 245.44, so we can write it down as 100%=245.44.
4. We know, that x% equals 36.22 of the output value, so we can write it down as x%=36.22.
5. Now we have two simple equations:
1) 100%=245.44
2) x%=36.22
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%=245.44/36.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.22 is what percent of 245.44

100%/x%=245.44/36.22
(100/x)*x=(245.44/36.22)*x       - we multiply both sides of the equation by x
100=6.7763666482606*x       - we divide both sides of the equation by (6.7763666482606) to get x
100/6.7763666482606=x
14.757170795306=x
x=14.757170795306

now we have:
36.22 is 14.757170795306% of 245.44