56.38 is what percent of 909.23 - 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 909.23 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 909.23, so we can write it down as 100%=909.23.
4. We know, that x% equals 56.38 of the output value, so we can write it down as x%=56.38.
5. Now we have two simple equations:
1) 100%=909.23
2) x%=56.38
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%=909.23/56.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.38 is what percent of 909.23

100%/x%=909.23/56.38
(100/x)*x=(909.23/56.38)*x       - we multiply both sides of the equation by x
100=16.126818020575*x       - we divide both sides of the equation by (16.126818020575) to get x
100/16.126818020575=x
6.2008512697557=x
x=6.2008512697557

now we have:
56.38 is 6.2008512697557% of 909.23