30.38 is what percent of 1000 - 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 1000 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 1000, so we can write it down as 100%=1000.
4. We know, that x% equals 30.38 of the output value, so we can write it down as x%=30.38.
5. Now we have two simple equations:
1) 100%=1000
2) x%=30.38
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%=1000/30.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.38 is what percent of 1000

100%/x%=1000/30.38
(100/x)*x=(1000/30.38)*x       - we multiply both sides of the equation by x
100=32.916392363397*x       - we divide both sides of the equation by (32.916392363397) to get x
100/32.916392363397=x
3.038=x
x=3.038

now we have:
30.38 is 3.038% of 1000