523.26 is what percent of 12000 - 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 12000 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 12000, so we can write it down as 100%=12000.
4. We know, that x% equals 523.26 of the output value, so we can write it down as x%=523.26.
5. Now we have two simple equations:
1) 100%=12000
2) x%=523.26
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%=12000/523.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 523.26 is what percent of 12000

100%/x%=12000/523.26
(100/x)*x=(12000/523.26)*x       - we multiply both sides of the equation by x
100=22.933149868134*x       - we divide both sides of the equation by (22.933149868134) to get x
100/22.933149868134=x
4.3605=x
x=4.3605

now we have:
523.26 is 4.3605% of 12000