2 is what percent of 17.76 - 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 17.76 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 17.76, so we can write it down as 100%=17.76.
4. We know, that x% equals 2 of the output value, so we can write it down as x%=2.
5. Now we have two simple equations:
1) 100%=17.76
2) x%=2
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%=17.76/2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2 is what percent of 17.76

100%/x%=17.76/2
(100/x)*x=(17.76/2)*x       - we multiply both sides of the equation by x
100=8.88*x       - we divide both sides of the equation by (8.88) to get x
100/8.88=x
11.261261261261=x
x=11.261261261261

now we have:
2 is 11.261261261261% of 17.76