455.5 is what percent of 590 - 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 590 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 590, so we can write it down as 100%=590.
4. We know, that x% equals 455.5 of the output value, so we can write it down as x%=455.5.
5. Now we have two simple equations:
1) 100%=590
2) x%=455.5
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%=590/455.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 455.5 is what percent of 590

100%/x%=590/455.5
(100/x)*x=(590/455.5)*x       - we multiply both sides of the equation by x
100=1.2952799121844*x       - we divide both sides of the equation by (1.2952799121844) to get x
100/1.2952799121844=x
77.203389830508=x
x=77.203389830508

now we have:
455.5 is 77.203389830508% of 590