18.55 is what percent of 650 - 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 650 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 650, so we can write it down as 100%=650.
4. We know, that x% equals 18.55 of the output value, so we can write it down as x%=18.55.
5. Now we have two simple equations:
1) 100%=650
2) x%=18.55
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%=650/18.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.55 is what percent of 650

100%/x%=650/18.55
(100/x)*x=(650/18.55)*x       - we multiply both sides of the equation by x
100=35.040431266846*x       - we divide both sides of the equation by (35.040431266846) to get x
100/35.040431266846=x
2.8538461538462=x
x=2.8538461538462

now we have:
18.55 is 2.8538461538462% of 650