3.75 is what percent of 6100 - 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 6100 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 6100, so we can write it down as 100%=6100.
4. We know, that x% equals 3.75 of the output value, so we can write it down as x%=3.75.
5. Now we have two simple equations:
1) 100%=6100
2) x%=3.75
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%=6100/3.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.75 is what percent of 6100

100%/x%=6100/3.75
(100/x)*x=(6100/3.75)*x       - we multiply both sides of the equation by x
100=1626.6666666667*x       - we divide both sides of the equation by (1626.6666666667) to get x
100/1626.6666666667=x
0.061475409836066=x
x=0.061475409836066

now we have:
3.75 is 0.061475409836066% of 6100