38.02 is what percent of 664.67 - 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 664.67 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 664.67, so we can write it down as 100%=664.67.
4. We know, that x% equals 38.02 of the output value, so we can write it down as x%=38.02.
5. Now we have two simple equations:
1) 100%=664.67
2) x%=38.02
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%=664.67/38.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.02 is what percent of 664.67

100%/x%=664.67/38.02
(100/x)*x=(664.67/38.02)*x       - we multiply both sides of the equation by x
100=17.482114676486*x       - we divide both sides of the equation by (17.482114676486) to get x
100/17.482114676486=x
5.7201317947252=x
x=5.7201317947252

now we have:
38.02 is 5.7201317947252% of 664.67