0.23 is what percent of 4.12 - 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 4.12 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 4.12, so we can write it down as 100%=4.12.
4. We know, that x% equals 0.23 of the output value, so we can write it down as x%=0.23.
5. Now we have two simple equations:
1) 100%=4.12
2) x%=0.23
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%=4.12/0.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.23 is what percent of 4.12

100%/x%=4.12/0.23
(100/x)*x=(4.12/0.23)*x       - we multiply both sides of the equation by x
100=17.913043478261*x       - we divide both sides of the equation by (17.913043478261) to get x
100/17.913043478261=x
5.5825242718447=x
x=5.5825242718447

now we have:
0.23 is 5.5825242718447% of 4.12