What is 90.45 percent of 468.35 - 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 468.35 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 468.35 is 100%, so we can write it down as 468.35=100%.
4. We know, that x is 90.45% of the output value, so we can write it down as x=90.45%.
5. Now we have two simple equations:
1) 468.35=100%
2) x=90.45%
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:
468.35/x=100%/90.45%
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 90.45% of 468.35

468.35/x=100/90.45
(468.35/x)*x=(100/90.45)*x       - we multiply both sides of the equation by x
468.35=1.1055831951354*x       - we divide both sides of the equation by (1.1055831951354) to get x
468.35/1.1055831951354=x
423.622575=x
x=423.622575

now we have:
90.45% of 468.35=423.622575