0.13 is what percent of 200.09 - 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 200.09 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 200.09, so we can write it down as 100%=200.09.
4. We know, that x% equals 0.13 of the output value, so we can write it down as x%=0.13.
5. Now we have two simple equations:
1) 100%=200.09
2) x%=0.13
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%=200.09/0.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.13 is what percent of 200.09

100%/x%=200.09/0.13
(100/x)*x=(200.09/0.13)*x       - we multiply both sides of the equation by x
100=1539.1538461538*x       - we divide both sides of the equation by (1539.1538461538) to get x
100/1539.1538461538=x
0.06497076315658=x
x=0.06497076315658

now we have:
0.13 is 0.06497076315658% of 200.09