13.23 is what percent of 204.21 - 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 204.21 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 204.21, so we can write it down as 100%=204.21.
4. We know, that x% equals 13.23 of the output value, so we can write it down as x%=13.23.
5. Now we have two simple equations:
1) 100%=204.21
2) x%=13.23
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%=204.21/13.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.23 is what percent of 204.21

100%/x%=204.21/13.23
(100/x)*x=(204.21/13.23)*x       - we multiply both sides of the equation by x
100=15.43537414966*x       - we divide both sides of the equation by (15.43537414966) to get x
100/15.43537414966=x
6.4786249449097=x
x=6.4786249449097

now we have:
13.23 is 6.4786249449097% of 204.21