4.5 is what percent of 419.76 - 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 419.76 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 419.76, so we can write it down as 100%=419.76.
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%=419.76
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%=419.76/4.5
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 419.76

100%/x%=419.76/4.5
(100/x)*x=(419.76/4.5)*x       - we multiply both sides of the equation by x
100=93.28*x       - we divide both sides of the equation by (93.28) to get x
100/93.28=x
1.0720411663808=x
x=1.0720411663808

now we have:
4.5 is 1.0720411663808% of 419.76