450.6 is what percent of 565.5 - 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 565.5 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 565.5, so we can write it down as 100%=565.5.
4. We know, that x% equals 450.6 of the output value, so we can write it down as x%=450.6.
5. Now we have two simple equations:
1) 100%=565.5
2) x%=450.6
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%=565.5/450.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 450.6 is what percent of 565.5

100%/x%=565.5/450.6
(100/x)*x=(565.5/450.6)*x       - we multiply both sides of the equation by x
100=1.2549933422104*x       - we divide both sides of the equation by (1.2549933422104) to get x
100/1.2549933422104=x
79.681697612732=x
x=79.681697612732

now we have:
450.6 is 79.681697612732% of 565.5