18.42 is what percent of 30970.84 - 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 30970.84 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 30970.84, so we can write it down as 100%=30970.84.
4. We know, that x% equals 18.42 of the output value, so we can write it down as x%=18.42.
5. Now we have two simple equations:
1) 100%=30970.84
2) x%=18.42
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%=30970.84/18.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.42 is what percent of 30970.84

100%/x%=30970.84/18.42
(100/x)*x=(30970.84/18.42)*x       - we multiply both sides of the equation by x
100=1681.3702497286*x       - we divide both sides of the equation by (1681.3702497286) to get x
100/1681.3702497286=x
0.059475299991863=x
x=0.059475299991863

now we have:
18.42 is 0.059475299991863% of 30970.84