31.02 is what percent of 51.78 - 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 51.78 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 51.78, so we can write it down as 100%=51.78.
4. We know, that x% equals 31.02 of the output value, so we can write it down as x%=31.02.
5. Now we have two simple equations:
1) 100%=51.78
2) x%=31.02
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%=51.78/31.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.02 is what percent of 51.78

100%/x%=51.78/31.02
(100/x)*x=(51.78/31.02)*x       - we multiply both sides of the equation by x
100=1.6692456479691*x       - we divide both sides of the equation by (1.6692456479691) to get x
100/1.6692456479691=x
59.907300115875=x
x=59.907300115875

now we have:
31.02 is 59.907300115875% of 51.78