185.25 is what percent of 230 - 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 230 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 230, so we can write it down as 100%=230.
4. We know, that x% equals 185.25 of the output value, so we can write it down as x%=185.25.
5. Now we have two simple equations:
1) 100%=230
2) x%=185.25
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%=230/185.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 185.25 is what percent of 230

100%/x%=230/185.25
(100/x)*x=(230/185.25)*x       - we multiply both sides of the equation by x
100=1.2415654520918*x       - we divide both sides of the equation by (1.2415654520918) to get x
100/1.2415654520918=x
80.54347826087=x
x=80.54347826087

now we have:
185.25 is 80.54347826087% of 230