0.51 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 0.51 of the output value, so we can write it down as x%=0.51.
5. Now we have two simple equations:
1) 100%=31
2) x%=0.51
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%=31/0.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.51 is what percent of 31

100%/x%=31/0.51
(100/x)*x=(31/0.51)*x       - we multiply both sides of the equation by x
100=60.78431372549*x       - we divide both sides of the equation by (60.78431372549) to get x
100/60.78431372549=x
1.6451612903226=x
x=1.6451612903226

now we have:
0.51 is 1.6451612903226% of 31