55 is what percent of 3676 - 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 3676 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 3676, so we can write it down as 100%=3676.
4. We know, that x% equals 55 of the output value, so we can write it down as x%=55.
5. Now we have two simple equations:
1) 100%=3676
2) x%=55
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%=3676/55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55 is what percent of 3676

100%/x%=3676/55
(100/x)*x=(3676/55)*x       - we multiply both sides of the equation by x
100=66.836363636364*x       - we divide both sides of the equation by (66.836363636364) to get x
100/66.836363636364=x
1.4961915125136=x
x=1.4961915125136

now we have:
55 is 1.4961915125136% of 3676