5627.5 is what percent of 11999 - 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 11999 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 11999, so we can write it down as 100%=11999.
4. We know, that x% equals 5627.5 of the output value, so we can write it down as x%=5627.5.
5. Now we have two simple equations:
1) 100%=11999
2) x%=5627.5
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%=11999/5627.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5627.5 is what percent of 11999

100%/x%=11999/5627.5
(100/x)*x=(11999/5627.5)*x       - we multiply both sides of the equation by x
100=2.1322079075966*x       - we divide both sides of the equation by (2.1322079075966) to get x
100/2.1322079075966=x
46.899741645137=x
x=46.899741645137

now we have:
5627.5 is 46.899741645137% of 11999