11.29 is what percent of 536.29 - 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 536.29 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 536.29, so we can write it down as 100%=536.29.
4. We know, that x% equals 11.29 of the output value, so we can write it down as x%=11.29.
5. Now we have two simple equations:
1) 100%=536.29
2) x%=11.29
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%=536.29/11.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.29 is what percent of 536.29

100%/x%=536.29/11.29
(100/x)*x=(536.29/11.29)*x       - we multiply both sides of the equation by x
100=47.501328609389*x       - we divide both sides of the equation by (47.501328609389) to get x
100/47.501328609389=x
2.1052042738071=x
x=2.1052042738071

now we have:
11.29 is 2.1052042738071% of 536.29