76.47 is what percent of 1298.95 - 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 1298.95 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 1298.95, so we can write it down as 100%=1298.95.
4. We know, that x% equals 76.47 of the output value, so we can write it down as x%=76.47.
5. Now we have two simple equations:
1) 100%=1298.95
2) x%=76.47
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%=1298.95/76.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.47 is what percent of 1298.95

100%/x%=1298.95/76.47
(100/x)*x=(1298.95/76.47)*x       - we multiply both sides of the equation by x
100=16.986399895384*x       - we divide both sides of the equation by (16.986399895384) to get x
100/16.986399895384=x
5.8870626275068=x
x=5.8870626275068

now we have:
76.47 is 5.8870626275068% of 1298.95