11.26 is what percent of 600.67 - 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 600.67 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 600.67, so we can write it down as 100%=600.67.
4. We know, that x% equals 11.26 of the output value, so we can write it down as x%=11.26.
5. Now we have two simple equations:
1) 100%=600.67
2) x%=11.26
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%=600.67/11.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.26 is what percent of 600.67

100%/x%=600.67/11.26
(100/x)*x=(600.67/11.26)*x       - we multiply both sides of the equation by x
100=53.345470692718*x       - we divide both sides of the equation by (53.345470692718) to get x
100/53.345470692718=x
1.8745733930444=x
x=1.8745733930444

now we have:
11.26 is 1.8745733930444% of 600.67