53 is what percent of 17.6666666667 - 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 17.6666666667 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 17.6666666667, so we can write it down as 100%=17.6666666667.
4. We know, that x% equals 53 of the output value, so we can write it down as x%=53.
5. Now we have two simple equations:
1) 100%=17.6666666667
2) x%=53
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%=17.6666666667/53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53 is what percent of 17.6666666667

100%/x%=17.6666666667/53
(100/x)*x=(17.6666666667/53)*x       - we multiply both sides of the equation by x
100=0.33333333333396*x       - we divide both sides of the equation by (0.33333333333396) to get x
100/0.33333333333396=x
299.99999999943=x
x=299.99999999943

now we have:
53 is 299.99999999943% of 17.6666666667