51.34 is what percent of 205.34 - 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 205.34 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 205.34, so we can write it down as 100%=205.34.
4. We know, that x% equals 51.34 of the output value, so we can write it down as x%=51.34.
5. Now we have two simple equations:
1) 100%=205.34
2) x%=51.34
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%=205.34/51.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.34 is what percent of 205.34

100%/x%=205.34/51.34
(100/x)*x=(205.34/51.34)*x       - we multiply both sides of the equation by x
100=3.9996104402026*x       - we divide both sides of the equation by (3.9996104402026) to get x
100/3.9996104402026=x
25.002434985877=x
x=25.002434985877

now we have:
51.34 is 25.002434985877% of 205.34