882.49 is what percent of 1473 - 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 1473 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 1473, so we can write it down as 100%=1473.
4. We know, that x% equals 882.49 of the output value, so we can write it down as x%=882.49.
5. Now we have two simple equations:
1) 100%=1473
2) x%=882.49
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%=1473/882.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 882.49 is what percent of 1473

100%/x%=1473/882.49
(100/x)*x=(1473/882.49)*x       - we multiply both sides of the equation by x
100=1.6691407268071*x       - we divide both sides of the equation by (1.6691407268071) to get x
100/1.6691407268071=x
59.911065852003=x
x=59.911065852003

now we have:
882.49 is 59.911065852003% of 1473