185.98 is what percent of 2123.23 - 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 2123.23 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 2123.23, so we can write it down as 100%=2123.23.
4. We know, that x% equals 185.98 of the output value, so we can write it down as x%=185.98.
5. Now we have two simple equations:
1) 100%=2123.23
2) x%=185.98
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%=2123.23/185.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 185.98 is what percent of 2123.23

100%/x%=2123.23/185.98
(100/x)*x=(2123.23/185.98)*x       - we multiply both sides of the equation by x
100=11.41644262824*x       - we divide both sides of the equation by (11.41644262824) to get x
100/11.41644262824=x
8.7592959782972=x
x=8.7592959782972

now we have:
185.98 is 8.7592959782972% of 2123.23