36742.91 is what percent of 36774.94 - 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 36774.94 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 36774.94, so we can write it down as 100%=36774.94.
4. We know, that x% equals 36742.91 of the output value, so we can write it down as x%=36742.91.
5. Now we have two simple equations:
1) 100%=36774.94
2) x%=36742.91
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%=36774.94/36742.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36742.91 is what percent of 36774.94

100%/x%=36774.94/36742.91
(100/x)*x=(36774.94/36742.91)*x       - we multiply both sides of the equation by x
100=1.0008717328051*x       - we divide both sides of the equation by (1.0008717328051) to get x
100/1.0008717328051=x
99.912902645116=x
x=99.912902645116

now we have:
36742.91 is 99.912902645116% of 36774.94