282.43 is what percent of 482.79 - 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 482.79 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 482.79, so we can write it down as 100%=482.79.
4. We know, that x% equals 282.43 of the output value, so we can write it down as x%=282.43.
5. Now we have two simple equations:
1) 100%=482.79
2) x%=282.43
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%=482.79/282.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 282.43 is what percent of 482.79

100%/x%=482.79/282.43
(100/x)*x=(482.79/282.43)*x       - we multiply both sides of the equation by x
100=1.7094147222321*x       - we divide both sides of the equation by (1.7094147222321) to get x
100/1.7094147222321=x
58.499554671803=x
x=58.499554671803

now we have:
282.43 is 58.499554671803% of 482.79