579.5 is what percent of 1185 - 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 1185 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 1185, so we can write it down as 100%=1185.
4. We know, that x% equals 579.5 of the output value, so we can write it down as x%=579.5.
5. Now we have two simple equations:
1) 100%=1185
2) x%=579.5
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%=1185/579.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 579.5 is what percent of 1185

100%/x%=1185/579.5
(100/x)*x=(1185/579.5)*x       - we multiply both sides of the equation by x
100=2.0448662640207*x       - we divide both sides of the equation by (2.0448662640207) to get x
100/2.0448662640207=x
48.902953586498=x
x=48.902953586498

now we have:
579.5 is 48.902953586498% of 1185