0.47 is what percent of 5.23 - 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 5.23 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 5.23, so we can write it down as 100%=5.23.
4. We know, that x% equals 0.47 of the output value, so we can write it down as x%=0.47.
5. Now we have two simple equations:
1) 100%=5.23
2) x%=0.47
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%=5.23/0.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.47 is what percent of 5.23

100%/x%=5.23/0.47
(100/x)*x=(5.23/0.47)*x       - we multiply both sides of the equation by x
100=11.127659574468*x       - we divide both sides of the equation by (11.127659574468) to get x
100/11.127659574468=x
8.9866156787763=x
x=8.9866156787763

now we have:
0.47 is 8.9866156787763% of 5.23