0.33 is what percent of 8970 - 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 8970 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 8970, so we can write it down as 100%=8970.
4. We know, that x% equals 0.33 of the output value, so we can write it down as x%=0.33.
5. Now we have two simple equations:
1) 100%=8970
2) x%=0.33
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%=8970/0.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.33 is what percent of 8970

100%/x%=8970/0.33
(100/x)*x=(8970/0.33)*x       - we multiply both sides of the equation by x
100=27181.818181818*x       - we divide both sides of the equation by (27181.818181818) to get x
100/27181.818181818=x
0.0036789297658863=x
x=0.0036789297658863

now we have:
0.33 is 0.0036789297658863% of 8970