35 is what percent of 3001 - 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 3001 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 3001, so we can write it down as 100%=3001.
4. We know, that x% equals 35 of the output value, so we can write it down as x%=35.
5. Now we have two simple equations:
1) 100%=3001
2) x%=35
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%=3001/35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35 is what percent of 3001

100%/x%=3001/35
(100/x)*x=(3001/35)*x       - we multiply both sides of the equation by x
100=85.742857142857*x       - we divide both sides of the equation by (85.742857142857) to get x
100/85.742857142857=x
1.1662779073642=x
x=1.1662779073642

now we have:
35 is 1.1662779073642% of 3001