37.66 is what percent of 607.5 - 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 607.5 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 607.5, so we can write it down as 100%=607.5.
4. We know, that x% equals 37.66 of the output value, so we can write it down as x%=37.66.
5. Now we have two simple equations:
1) 100%=607.5
2) x%=37.66
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%=607.5/37.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.66 is what percent of 607.5

100%/x%=607.5/37.66
(100/x)*x=(607.5/37.66)*x       - we multiply both sides of the equation by x
100=16.131173659055*x       - we divide both sides of the equation by (16.131173659055) to get x
100/16.131173659055=x
6.1991769547325=x
x=6.1991769547325

now we have:
37.66 is 6.1991769547325% of 607.5