667.4 is what percent of 5000 - 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 5000 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 5000, so we can write it down as 100%=5000.
4. We know, that x% equals 667.4 of the output value, so we can write it down as x%=667.4.
5. Now we have two simple equations:
1) 100%=5000
2) x%=667.4
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%=5000/667.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 667.4 is what percent of 5000

100%/x%=5000/667.4
(100/x)*x=(5000/667.4)*x       - we multiply both sides of the equation by x
100=7.4917590650285*x       - we divide both sides of the equation by (7.4917590650285) to get x
100/7.4917590650285=x
13.348=x
x=13.348

now we have:
667.4 is 13.348% of 5000