78.72 is what percent of 1270.83 - 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 1270.83 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 1270.83, so we can write it down as 100%=1270.83.
4. We know, that x% equals 78.72 of the output value, so we can write it down as x%=78.72.
5. Now we have two simple equations:
1) 100%=1270.83
2) x%=78.72
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%=1270.83/78.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.72 is what percent of 1270.83

100%/x%=1270.83/78.72
(100/x)*x=(1270.83/78.72)*x       - we multiply both sides of the equation by x
100=16.143673780488*x       - we divide both sides of the equation by (16.143673780488) to get x
100/16.143673780488=x
6.1943769032837=x
x=6.1943769032837

now we have:
78.72 is 6.1943769032837% of 1270.83