51 is what percent of 6078 - 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 6078 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 6078, so we can write it down as 100%=6078.
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%=6078
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%=6078/51
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 6078

100%/x%=6078/51
(100/x)*x=(6078/51)*x       - we multiply both sides of the equation by x
100=119.17647058824*x       - we divide both sides of the equation by (119.17647058824) to get x
100/119.17647058824=x
0.8390918065153=x
x=0.8390918065153

now we have:
51 is 0.8390918065153% of 6078