17.22 is what percent of 1636.8 - 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 1636.8 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 1636.8, so we can write it down as 100%=1636.8.
4. We know, that x% equals 17.22 of the output value, so we can write it down as x%=17.22.
5. Now we have two simple equations:
1) 100%=1636.8
2) x%=17.22
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%=1636.8/17.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.22 is what percent of 1636.8

100%/x%=1636.8/17.22
(100/x)*x=(1636.8/17.22)*x       - we multiply both sides of the equation by x
100=95.052264808362*x       - we divide both sides of the equation by (95.052264808362) to get x
100/95.052264808362=x
1.0520527859238=x
x=1.0520527859238

now we have:
17.22 is 1.0520527859238% of 1636.8