420.39 is what percent of 830.4 - 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 830.4 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 830.4, so we can write it down as 100%=830.4.
4. We know, that x% equals 420.39 of the output value, so we can write it down as x%=420.39.
5. Now we have two simple equations:
1) 100%=830.4
2) x%=420.39
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%=830.4/420.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 420.39 is what percent of 830.4

100%/x%=830.4/420.39
(100/x)*x=(830.4/420.39)*x       - we multiply both sides of the equation by x
100=1.9753086419753*x       - we divide both sides of the equation by (1.9753086419753) to get x
100/1.9753086419753=x
50.625=x
x=50.625

now we have:
420.39 is 50.625% of 830.4