423.56 is what percent of 4423.56 - 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 4423.56 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 4423.56, so we can write it down as 100%=4423.56.
4. We know, that x% equals 423.56 of the output value, so we can write it down as x%=423.56.
5. Now we have two simple equations:
1) 100%=4423.56
2) x%=423.56
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%=4423.56/423.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 423.56 is what percent of 4423.56

100%/x%=4423.56/423.56
(100/x)*x=(4423.56/423.56)*x       - we multiply both sides of the equation by x
100=10.443762394938*x       - we divide both sides of the equation by (10.443762394938) to get x
100/10.443762394938=x
9.5750933637161=x
x=9.5750933637161

now we have:
423.56 is 9.5750933637161% of 4423.56