81.9 is what percent of 31 - 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 31 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 31, so we can write it down as 100%=31.
4. We know, that x% equals 81.9 of the output value, so we can write it down as x%=81.9.
5. Now we have two simple equations:
1) 100%=31
2) x%=81.9
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%=31/81.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 81.9 is what percent of 31

100%/x%=31/81.9
(100/x)*x=(31/81.9)*x       - we multiply both sides of the equation by x
100=0.37851037851038*x       - we divide both sides of the equation by (0.37851037851038) to get x
100/0.37851037851038=x
264.1935483871=x
x=264.1935483871

now we have:
81.9 is 264.1935483871% of 31