8.82 is what percent of 5.52 - 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 5.52 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 5.52, so we can write it down as 100%=5.52.
4. We know, that x% equals 8.82 of the output value, so we can write it down as x%=8.82.
5. Now we have two simple equations:
1) 100%=5.52
2) x%=8.82
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%=5.52/8.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.82 is what percent of 5.52

100%/x%=5.52/8.82
(100/x)*x=(5.52/8.82)*x       - we multiply both sides of the equation by x
100=0.62585034013605*x       - we divide both sides of the equation by (0.62585034013605) to get x
100/0.62585034013605=x
159.78260869565=x
x=159.78260869565

now we have:
8.82 is 159.78260869565% of 5.52