What is 4.5 percent of 1037.66 - 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 1037.66 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 1037.66 is 100%, so we can write it down as 1037.66=100%.
4. We know, that x is 4.5% of the output value, so we can write it down as x=4.5%.
5. Now we have two simple equations:
1) 1037.66=100%
2) x=4.5%
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:
1037.66/x=100%/4.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 4.5% of 1037.66

1037.66/x=100/4.5
(1037.66/x)*x=(100/4.5)*x       - we multiply both sides of the equation by x
1037.66=22.222222222222*x       - we divide both sides of the equation by (22.222222222222) to get x
1037.66/22.222222222222=x
46.6947=x
x=46.6947

now we have:
4.5% of 1037.66=46.6947