663.2 is what percent of 1307.98 - 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 1307.98 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 1307.98, so we can write it down as 100%=1307.98.
4. We know, that x% equals 663.2 of the output value, so we can write it down as x%=663.2.
5. Now we have two simple equations:
1) 100%=1307.98
2) x%=663.2
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%=1307.98/663.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 663.2 is what percent of 1307.98

100%/x%=1307.98/663.2
(100/x)*x=(1307.98/663.2)*x       - we multiply both sides of the equation by x
100=1.9722255729795*x       - we divide both sides of the equation by (1.9722255729795) to get x
100/1.9722255729795=x
50.704139207022=x
x=50.704139207022

now we have:
663.2 is 50.704139207022% of 1307.98