4.78 is what percent of 82.15 - 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 82.15 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 82.15, so we can write it down as 100%=82.15.
4. We know, that x% equals 4.78 of the output value, so we can write it down as x%=4.78.
5. Now we have two simple equations:
1) 100%=82.15
2) x%=4.78
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%=82.15/4.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.78 is what percent of 82.15

100%/x%=82.15/4.78
(100/x)*x=(82.15/4.78)*x       - we multiply both sides of the equation by x
100=17.186192468619*x       - we divide both sides of the equation by (17.186192468619) to get x
100/17.186192468619=x
5.8186244674376=x
x=5.8186244674376

now we have:
4.78 is 5.8186244674376% of 82.15