368.37 is what percent of 3749 - 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 3749 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 3749, so we can write it down as 100%=3749.
4. We know, that x% equals 368.37 of the output value, so we can write it down as x%=368.37.
5. Now we have two simple equations:
1) 100%=3749
2) x%=368.37
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%=3749/368.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 368.37 is what percent of 3749

100%/x%=3749/368.37
(100/x)*x=(3749/368.37)*x       - we multiply both sides of the equation by x
100=10.177267421343*x       - we divide both sides of the equation by (10.177267421343) to get x
100/10.177267421343=x
9.825820218725=x
x=9.825820218725

now we have:
368.37 is 9.825820218725% of 3749