29.68 is what percent of 312.42 - 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 312.42 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 312.42, so we can write it down as 100%=312.42.
4. We know, that x% equals 29.68 of the output value, so we can write it down as x%=29.68.
5. Now we have two simple equations:
1) 100%=312.42
2) x%=29.68
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%=312.42/29.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.68 is what percent of 312.42

100%/x%=312.42/29.68
(100/x)*x=(312.42/29.68)*x       - we multiply both sides of the equation by x
100=10.52628032345*x       - we divide both sides of the equation by (10.52628032345) to get x
100/10.52628032345=x
9.5000320081941=x
x=9.5000320081941

now we have:
29.68 is 9.5000320081941% of 312.42