0.05 is what percent of 51 - 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 51 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 51, so we can write it down as 100%=51.
4. We know, that x% equals 0.05 of the output value, so we can write it down as x%=0.05.
5. Now we have two simple equations:
1) 100%=51
2) x%=0.05
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%=51/0.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.05 is what percent of 51

100%/x%=51/0.05
(100/x)*x=(51/0.05)*x       - we multiply both sides of the equation by x
100=1020*x       - we divide both sides of the equation by (1020) to get x
100/1020=x
0.098039215686275=x
x=0.098039215686275

now we have:
0.05 is 0.098039215686275% of 51