0.31 is what percent of 501.39 - 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 501.39 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 501.39, so we can write it down as 100%=501.39.
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%=501.39
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%=501.39/0.31
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 501.39

100%/x%=501.39/0.31
(100/x)*x=(501.39/0.31)*x       - we multiply both sides of the equation by x
100=1617.3870967742*x       - we divide both sides of the equation by (1617.3870967742) to get x
100/1617.3870967742=x
0.061828117832426=x
x=0.061828117832426

now we have:
0.31 is 0.061828117832426% of 501.39