30 is what percent of 182070 - 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 182070 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 182070, so we can write it down as 100%=182070.
4. We know, that x% equals 30 of the output value, so we can write it down as x%=30.
5. Now we have two simple equations:
1) 100%=182070
2) x%=30
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%=182070/30
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30 is what percent of 182070

100%/x%=182070/30
(100/x)*x=(182070/30)*x       - we multiply both sides of the equation by x
100=6069*x       - we divide both sides of the equation by (6069) to get x
100/6069=x
0.016477179106937=x
x=0.016477179106937

now we have:
30 is 0.016477179106937% of 182070