30 is what percent of 656.301 - 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 656.301 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 656.301, so we can write it down as 100%=656.301.
4. We know, that x% equals 30 of the output value, so we can write it down as x%=30.
5. Now we have two simple equations:
1) 100%=656.301
2) x%=30
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%=656.301/30
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30 is what percent of 656.301

100%/x%=656.301/30
(100/x)*x=(656.301/30)*x       - we multiply both sides of the equation by x
100=21.8767*x       - we divide both sides of the equation by (21.8767) to get x
100/21.8767=x
4.5710733337295=x
x=4.5710733337295

now we have:
30 is 4.5710733337295% of 656.301