502.82 is what percent of 1423 - 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 1423 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 1423, so we can write it down as 100%=1423.
4. We know, that x% equals 502.82 of the output value, so we can write it down as x%=502.82.
5. Now we have two simple equations:
1) 100%=1423
2) x%=502.82
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%=1423/502.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 502.82 is what percent of 1423

100%/x%=1423/502.82
(100/x)*x=(1423/502.82)*x       - we multiply both sides of the equation by x
100=2.8300385823953*x       - we divide both sides of the equation by (2.8300385823953) to get x
100/2.8300385823953=x
35.335207308503=x
x=35.335207308503

now we have:
502.82 is 35.335207308503% of 1423