5.78 is what percent of 75.82 - 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 75.82 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 75.82, so we can write it down as 100%=75.82.
4. We know, that x% equals 5.78 of the output value, so we can write it down as x%=5.78.
5. Now we have two simple equations:
1) 100%=75.82
2) x%=5.78
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%=75.82/5.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.78 is what percent of 75.82

100%/x%=75.82/5.78
(100/x)*x=(75.82/5.78)*x       - we multiply both sides of the equation by x
100=13.117647058824*x       - we divide both sides of the equation by (13.117647058824) to get x
100/13.117647058824=x
7.6233183856502=x
x=7.6233183856502

now we have:
5.78 is 7.6233183856502% of 75.82