29.73 is what percent of 311.27 - 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 311.27 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 311.27, so we can write it down as 100%=311.27.
4. We know, that x% equals 29.73 of the output value, so we can write it down as x%=29.73.
5. Now we have two simple equations:
1) 100%=311.27
2) x%=29.73
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%=311.27/29.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.73 is what percent of 311.27

100%/x%=311.27/29.73
(100/x)*x=(311.27/29.73)*x       - we multiply both sides of the equation by x
100=10.469895728221*x       - we divide both sides of the equation by (10.469895728221) to get x
100/10.469895728221=x
9.5511934976066=x
x=9.5511934976066

now we have:
29.73 is 9.5511934976066% of 311.27