432.62 is what percent of 4220.73 - 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 4220.73 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 4220.73, so we can write it down as 100%=4220.73.
4. We know, that x% equals 432.62 of the output value, so we can write it down as x%=432.62.
5. Now we have two simple equations:
1) 100%=4220.73
2) x%=432.62
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%=4220.73/432.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 432.62 is what percent of 4220.73

100%/x%=4220.73/432.62
(100/x)*x=(4220.73/432.62)*x       - we multiply both sides of the equation by x
100=9.7562063704868*x       - we divide both sides of the equation by (9.7562063704868) to get x
100/9.7562063704868=x
10.249885683282=x
x=10.249885683282

now we have:
432.62 is 10.249885683282% of 4220.73