55.82 is what percent of 1291 - 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 1291 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 1291, so we can write it down as 100%=1291.
4. We know, that x% equals 55.82 of the output value, so we can write it down as x%=55.82.
5. Now we have two simple equations:
1) 100%=1291
2) x%=55.82
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%=1291/55.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.82 is what percent of 1291

100%/x%=1291/55.82
(100/x)*x=(1291/55.82)*x       - we multiply both sides of the equation by x
100=23.12791114296*x       - we divide both sides of the equation by (23.12791114296) to get x
100/23.12791114296=x
4.3237800154919=x
x=4.3237800154919

now we have:
55.82 is 4.3237800154919% of 1291