11.78 is what percent of 206.22 - 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 206.22 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 206.22, so we can write it down as 100%=206.22.
4. We know, that x% equals 11.78 of the output value, so we can write it down as x%=11.78.
5. Now we have two simple equations:
1) 100%=206.22
2) x%=11.78
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%=206.22/11.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.78 is what percent of 206.22

100%/x%=206.22/11.78
(100/x)*x=(206.22/11.78)*x       - we multiply both sides of the equation by x
100=17.505942275042*x       - we divide both sides of the equation by (17.505942275042) to get x
100/17.505942275042=x
5.7123460382116=x
x=5.7123460382116

now we have:
11.78 is 5.7123460382116% of 206.22