0.31 is what percent of 1.518 - 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 1.518 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 1.518, so we can write it down as 100%=1.518.
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%=1.518
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%=1.518/0.31
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 1.518

100%/x%=1.518/0.31
(100/x)*x=(1.518/0.31)*x       - we multiply both sides of the equation by x
100=4.8967741935484*x       - we divide both sides of the equation by (4.8967741935484) to get x
100/4.8967741935484=x
20.421607378129=x
x=20.421607378129

now we have:
0.31 is 20.421607378129% of 1.518