47.78 is what percent of 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 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 82, so we can write it down as 100%=82.
4. We know, that x% equals 47.78 of the output value, so we can write it down as x%=47.78.
5. Now we have two simple equations:
1) 100%=82
2) x%=47.78
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%=82/47.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.78 is what percent of 82

100%/x%=82/47.78
(100/x)*x=(82/47.78)*x       - we multiply both sides of the equation by x
100=1.7161992465467*x       - we divide both sides of the equation by (1.7161992465467) to get x
100/1.7161992465467=x
58.268292682927=x
x=58.268292682927

now we have:
47.78 is 58.268292682927% of 82