51 is what percent of 122.1 - 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 122.1 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 122.1, so we can write it down as 100%=122.1.
4. We know, that x% equals 51 of the output value, so we can write it down as x%=51.
5. Now we have two simple equations:
1) 100%=122.1
2) x%=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%=122.1/51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51 is what percent of 122.1

100%/x%=122.1/51
(100/x)*x=(122.1/51)*x       - we multiply both sides of the equation by x
100=2.3941176470588*x       - we divide both sides of the equation by (2.3941176470588) to get x
100/2.3941176470588=x
41.769041769042=x
x=41.769041769042

now we have:
51 is 41.769041769042% of 122.1