31.2 is what percent of 46.9 - 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 46.9 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 46.9, so we can write it down as 100%=46.9.
4. We know, that x% equals 31.2 of the output value, so we can write it down as x%=31.2.
5. Now we have two simple equations:
1) 100%=46.9
2) x%=31.2
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%=46.9/31.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.2 is what percent of 46.9

100%/x%=46.9/31.2
(100/x)*x=(46.9/31.2)*x       - we multiply both sides of the equation by x
100=1.5032051282051*x       - we divide both sides of the equation by (1.5032051282051) to get x
100/1.5032051282051=x
66.524520255864=x
x=66.524520255864

now we have:
31.2 is 66.524520255864% of 46.9