0.31 is what percent of 53.84 - 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 53.84 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 53.84, so we can write it down as 100%=53.84.
4. We know, that x% equals 0.31 of the output value, so we can write it down as x%=0.31.
5. Now we have two simple equations:
1) 100%=53.84
2) x%=0.31
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%=53.84/0.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.31 is what percent of 53.84

100%/x%=53.84/0.31
(100/x)*x=(53.84/0.31)*x       - we multiply both sides of the equation by x
100=173.67741935484*x       - we divide both sides of the equation by (173.67741935484) to get x
100/173.67741935484=x
0.57578008915305=x
x=0.57578008915305

now we have:
0.31 is 0.57578008915305% of 53.84