538.23 is what percent of 2123.6 - 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 2123.6 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 2123.6, so we can write it down as 100%=2123.6.
4. We know, that x% equals 538.23 of the output value, so we can write it down as x%=538.23.
5. Now we have two simple equations:
1) 100%=2123.6
2) x%=538.23
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%=2123.6/538.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 538.23 is what percent of 2123.6

100%/x%=2123.6/538.23
(100/x)*x=(2123.6/538.23)*x       - we multiply both sides of the equation by x
100=3.9455251472419*x       - we divide both sides of the equation by (3.9455251472419) to get x
100/3.9455251472419=x
25.345168581654=x
x=25.345168581654

now we have:
538.23 is 25.345168581654% of 2123.6