0.1 is what percent of 45.2 - 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 45.2 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 45.2, so we can write it down as 100%=45.2.
4. We know, that x% equals 0.1 of the output value, so we can write it down as x%=0.1.
5. Now we have two simple equations:
1) 100%=45.2
2) x%=0.1
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%=45.2/0.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.1 is what percent of 45.2

100%/x%=45.2/0.1
(100/x)*x=(45.2/0.1)*x       - we multiply both sides of the equation by x
100=452*x       - we divide both sides of the equation by (452) to get x
100/452=x
0.2212389380531=x
x=0.2212389380531

now we have:
0.1 is 0.2212389380531% of 45.2