309.38 is what percent of 562.5 - 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 562.5 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 562.5, so we can write it down as 100%=562.5.
4. We know, that x% equals 309.38 of the output value, so we can write it down as x%=309.38.
5. Now we have two simple equations:
1) 100%=562.5
2) x%=309.38
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%=562.5/309.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 309.38 is what percent of 562.5

100%/x%=562.5/309.38
(100/x)*x=(562.5/309.38)*x       - we multiply both sides of the equation by x
100=1.8181524339001*x       - we divide both sides of the equation by (1.8181524339001) to get x
100/1.8181524339001=x
55.000888888889=x
x=55.000888888889

now we have:
309.38 is 55.000888888889% of 562.5