511.85 is what percent of 882.5 - 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 882.5 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 882.5, so we can write it down as 100%=882.5.
4. We know, that x% equals 511.85 of the output value, so we can write it down as x%=511.85.
5. Now we have two simple equations:
1) 100%=882.5
2) x%=511.85
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%=882.5/511.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 511.85 is what percent of 882.5

100%/x%=882.5/511.85
(100/x)*x=(882.5/511.85)*x       - we multiply both sides of the equation by x
100=1.7241379310345*x       - we divide both sides of the equation by (1.7241379310345) to get x
100/1.7241379310345=x
58=x
x=58

now we have:
511.85 is 58% of 882.5