51 is what percent of 71.99 - 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 71.99 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 71.99, so we can write it down as 100%=71.99.
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%=71.99
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%=71.99/51
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 71.99

100%/x%=71.99/51
(100/x)*x=(71.99/51)*x       - we multiply both sides of the equation by x
100=1.411568627451*x       - we divide both sides of the equation by (1.411568627451) to get x
100/1.411568627451=x
70.84317266287=x
x=70.84317266287

now we have:
51 is 70.84317266287% of 71.99