0.19 is what percent of 0.46 - 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 0.46 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 0.46, so we can write it down as 100%=0.46.
4. We know, that x% equals 0.19 of the output value, so we can write it down as x%=0.19.
5. Now we have two simple equations:
1) 100%=0.46
2) x%=0.19
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%=0.46/0.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.19 is what percent of 0.46

100%/x%=0.46/0.19
(100/x)*x=(0.46/0.19)*x       - we multiply both sides of the equation by x
100=2.4210526315789*x       - we divide both sides of the equation by (2.4210526315789) to get x
100/2.4210526315789=x
41.304347826087=x
x=41.304347826087

now we have:
0.19 is 41.304347826087% of 0.46