11.08 is what percent of 569.4 - 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 569.4 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 569.4, so we can write it down as 100%=569.4.
4. We know, that x% equals 11.08 of the output value, so we can write it down as x%=11.08.
5. Now we have two simple equations:
1) 100%=569.4
2) x%=11.08
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%=569.4/11.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.08 is what percent of 569.4

100%/x%=569.4/11.08
(100/x)*x=(569.4/11.08)*x       - we multiply both sides of the equation by x
100=51.389891696751*x       - we divide both sides of the equation by (51.389891696751) to get x
100/51.389891696751=x
1.9459079733052=x
x=1.9459079733052

now we have:
11.08 is 1.9459079733052% of 569.4