663.08 is what percent of 36700 - 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 36700 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 36700, so we can write it down as 100%=36700.
4. We know, that x% equals 663.08 of the output value, so we can write it down as x%=663.08.
5. Now we have two simple equations:
1) 100%=36700
2) x%=663.08
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%=36700/663.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 663.08 is what percent of 36700

100%/x%=36700/663.08
(100/x)*x=(36700/663.08)*x       - we multiply both sides of the equation by x
100=55.347771008023*x       - we divide both sides of the equation by (55.347771008023) to get x
100/55.347771008023=x
1.806757493188=x
x=1.806757493188

now we have:
663.08 is 1.806757493188% of 36700