0.46 is what percent of 15.2 - 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 15.2 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 15.2, so we can write it down as 100%=15.2.
4. We know, that x% equals 0.46 of the output value, so we can write it down as x%=0.46.
5. Now we have two simple equations:
1) 100%=15.2
2) x%=0.46
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%=15.2/0.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.46 is what percent of 15.2

100%/x%=15.2/0.46
(100/x)*x=(15.2/0.46)*x       - we multiply both sides of the equation by x
100=33.04347826087*x       - we divide both sides of the equation by (33.04347826087) to get x
100/33.04347826087=x
3.0263157894737=x
x=3.0263157894737

now we have:
0.46 is 3.0263157894737% of 15.2