30 is what percent of 287.221 - 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 287.221 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 287.221, so we can write it down as 100%=287.221.
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%=287.221
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%=287.221/30
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 287.221

100%/x%=287.221/30
(100/x)*x=(287.221/30)*x       - we multiply both sides of the equation by x
100=9.5740333333333*x       - we divide both sides of the equation by (9.5740333333333) to get x
100/9.5740333333333=x
10.444918721124=x
x=10.444918721124

now we have:
30 is 10.444918721124% of 287.221