663.7 is what percent of 3437.5 - 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 3437.5 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 3437.5, so we can write it down as 100%=3437.5.
4. We know, that x% equals 663.7 of the output value, so we can write it down as x%=663.7.
5. Now we have two simple equations:
1) 100%=3437.5
2) x%=663.7
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%=3437.5/663.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 663.7 is what percent of 3437.5

100%/x%=3437.5/663.7
(100/x)*x=(3437.5/663.7)*x       - we multiply both sides of the equation by x
100=5.1792978755462*x       - we divide both sides of the equation by (5.1792978755462) to get x
100/5.1792978755462=x
19.307636363636=x
x=19.307636363636

now we have:
663.7 is 19.307636363636% of 3437.5