10.75 is what percent of 3000 - 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 3000 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 3000, so we can write it down as 100%=3000.
4. We know, that x% equals 10.75 of the output value, so we can write it down as x%=10.75.
5. Now we have two simple equations:
1) 100%=3000
2) x%=10.75
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%=3000/10.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.75 is what percent of 3000

100%/x%=3000/10.75
(100/x)*x=(3000/10.75)*x       - we multiply both sides of the equation by x
100=279.06976744186*x       - we divide both sides of the equation by (279.06976744186) to get x
100/279.06976744186=x
0.35833333333333=x
x=0.35833333333333

now we have:
10.75 is 0.35833333333333% of 3000