4.5 is what percent of 4770 - 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 4770 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 4770, so we can write it down as 100%=4770.
4. We know, that x% equals 4.5 of the output value, so we can write it down as x%=4.5.
5. Now we have two simple equations:
1) 100%=4770
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:
100%/x%=4770/4.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.5 is what percent of 4770

100%/x%=4770/4.5
(100/x)*x=(4770/4.5)*x       - we multiply both sides of the equation by x
100=1060*x       - we divide both sides of the equation by (1060) to get x
100/1060=x
0.094339622641509=x
x=0.094339622641509

now we have:
4.5 is 0.094339622641509% of 4770