3.74 is what percent of 1005.1 - 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 1005.1 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 1005.1, so we can write it down as 100%=1005.1.
4. We know, that x% equals 3.74 of the output value, so we can write it down as x%=3.74.
5. Now we have two simple equations:
1) 100%=1005.1
2) x%=3.74
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%=1005.1/3.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.74 is what percent of 1005.1

100%/x%=1005.1/3.74
(100/x)*x=(1005.1/3.74)*x       - we multiply both sides of the equation by x
100=268.74331550802*x       - we divide both sides of the equation by (268.74331550802) to get x
100/268.74331550802=x
0.37210227838026=x
x=0.37210227838026

now we have:
3.74 is 0.37210227838026% of 1005.1