0.2 is what percent of 332.403 - 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 332.403 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 332.403, so we can write it down as 100%=332.403.
4. We know, that x% equals 0.2 of the output value, so we can write it down as x%=0.2.
5. Now we have two simple equations:
1) 100%=332.403
2) x%=0.2
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%=332.403/0.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.2 is what percent of 332.403

100%/x%=332.403/0.2
(100/x)*x=(332.403/0.2)*x       - we multiply both sides of the equation by x
100=1662.015*x       - we divide both sides of the equation by (1662.015) to get x
100/1662.015=x
0.060167928688971=x
x=0.060167928688971

now we have:
0.2 is 0.060167928688971% of 332.403