0.03 is what percent of 335.042 - 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 335.042 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 335.042, so we can write it down as 100%=335.042.
4. We know, that x% equals 0.03 of the output value, so we can write it down as x%=0.03.
5. Now we have two simple equations:
1) 100%=335.042
2) x%=0.03
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%=335.042/0.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.03 is what percent of 335.042

100%/x%=335.042/0.03
(100/x)*x=(335.042/0.03)*x       - we multiply both sides of the equation by x
100=11168.066666667*x       - we divide both sides of the equation by (11168.066666667) to get x
100/11168.066666667=x
0.0089541012768548=x
x=0.0089541012768548

now we have:
0.03 is 0.0089541012768548% of 335.042