47.82 is what percent of 3696 - 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 3696 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 3696, so we can write it down as 100%=3696.
4. We know, that x% equals 47.82 of the output value, so we can write it down as x%=47.82.
5. Now we have two simple equations:
1) 100%=3696
2) x%=47.82
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%=3696/47.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.82 is what percent of 3696

100%/x%=3696/47.82
(100/x)*x=(3696/47.82)*x       - we multiply both sides of the equation by x
100=77.289836888331*x       - we divide both sides of the equation by (77.289836888331) to get x
100/77.289836888331=x
1.2938311688312=x
x=1.2938311688312

now we have:
47.82 is 1.2938311688312% of 3696