665.5 is what percent of 1003 - 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 1003 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 1003, so we can write it down as 100%=1003.
4. We know, that x% equals 665.5 of the output value, so we can write it down as x%=665.5.
5. Now we have two simple equations:
1) 100%=1003
2) x%=665.5
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%=1003/665.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 665.5 is what percent of 1003

100%/x%=1003/665.5
(100/x)*x=(1003/665.5)*x       - we multiply both sides of the equation by x
100=1.5071374906086*x       - we divide both sides of the equation by (1.5071374906086) to get x
100/1.5071374906086=x
66.350947158524=x
x=66.350947158524

now we have:
665.5 is 66.350947158524% of 1003