36.36 is what percent of 277 - 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 277 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 277, so we can write it down as 100%=277.
4. We know, that x% equals 36.36 of the output value, so we can write it down as x%=36.36.
5. Now we have two simple equations:
1) 100%=277
2) x%=36.36
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%=277/36.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.36 is what percent of 277

100%/x%=277/36.36
(100/x)*x=(277/36.36)*x       - we multiply both sides of the equation by x
100=7.6182618261826*x       - we divide both sides of the equation by (7.6182618261826) to get x
100/7.6182618261826=x
13.126353790614=x
x=13.126353790614

now we have:
36.36 is 13.126353790614% of 277