0.46 is what percent of 15.63 - 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 15.63 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 15.63, so we can write it down as 100%=15.63.
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%=15.63
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%=15.63/0.46
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 15.63

100%/x%=15.63/0.46
(100/x)*x=(15.63/0.46)*x       - we multiply both sides of the equation by x
100=33.978260869565*x       - we divide both sides of the equation by (33.978260869565) to get x
100/33.978260869565=x
2.9430582213692=x
x=2.9430582213692

now we have:
0.46 is 2.9430582213692% of 15.63