13.35 is what percent of 190.65 - 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 190.65 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 190.65, so we can write it down as 100%=190.65.
4. We know, that x% equals 13.35 of the output value, so we can write it down as x%=13.35.
5. Now we have two simple equations:
1) 100%=190.65
2) x%=13.35
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%=190.65/13.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.35 is what percent of 190.65

100%/x%=190.65/13.35
(100/x)*x=(190.65/13.35)*x       - we multiply both sides of the equation by x
100=14.280898876404*x       - we divide both sides of the equation by (14.280898876404) to get x
100/14.280898876404=x
7.0023603461841=x
x=7.0023603461841

now we have:
13.35 is 7.0023603461841% of 190.65