37.37 is what percent of 661.1 - 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 661.1 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 661.1, so we can write it down as 100%=661.1.
4. We know, that x% equals 37.37 of the output value, so we can write it down as x%=37.37.
5. Now we have two simple equations:
1) 100%=661.1
2) x%=37.37
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%=661.1/37.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.37 is what percent of 661.1

100%/x%=661.1/37.37
(100/x)*x=(661.1/37.37)*x       - we multiply both sides of the equation by x
100=17.690660957988*x       - we divide both sides of the equation by (17.690660957988) to get x
100/17.690660957988=x
5.6527000453789=x
x=5.6527000453789

now we have:
37.37 is 5.6527000453789% of 661.1