185.25 is what percent of 1820 - 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 1820 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 1820, so we can write it down as 100%=1820.
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%=1820
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%=1820/185.25
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 1820

100%/x%=1820/185.25
(100/x)*x=(1820/185.25)*x       - we multiply both sides of the equation by x
100=9.8245614035088*x       - we divide both sides of the equation by (9.8245614035088) to get x
100/9.8245614035088=x
10.178571428571=x
x=10.178571428571

now we have:
185.25 is 10.178571428571% of 1820