200.4 is what percent of 5001 - 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 5001 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 5001, so we can write it down as 100%=5001.
4. We know, that x% equals 200.4 of the output value, so we can write it down as x%=200.4.
5. Now we have two simple equations:
1) 100%=5001
2) x%=200.4
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%=5001/200.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 200.4 is what percent of 5001

100%/x%=5001/200.4
(100/x)*x=(5001/200.4)*x       - we multiply both sides of the equation by x
100=24.955089820359*x       - we divide both sides of the equation by (24.955089820359) to get x
100/24.955089820359=x
4.0071985602879=x
x=4.0071985602879

now we have:
200.4 is 4.0071985602879% of 5001