412.02 is what percent of 823 - 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 823 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 823, so we can write it down as 100%=823.
4. We know, that x% equals 412.02 of the output value, so we can write it down as x%=412.02.
5. Now we have two simple equations:
1) 100%=823
2) x%=412.02
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%=823/412.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 412.02 is what percent of 823

100%/x%=823/412.02
(100/x)*x=(823/412.02)*x       - we multiply both sides of the equation by x
100=1.9974758506869*x       - we divide both sides of the equation by (1.9974758506869) to get x
100/1.9974758506869=x
50.063183475091=x
x=50.063183475091

now we have:
412.02 is 50.063183475091% of 823