5.65 is what percent of 3.15 - 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 3.15 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 3.15, so we can write it down as 100%=3.15.
4. We know, that x% equals 5.65 of the output value, so we can write it down as x%=5.65.
5. Now we have two simple equations:
1) 100%=3.15
2) x%=5.65
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%=3.15/5.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.65 is what percent of 3.15

100%/x%=3.15/5.65
(100/x)*x=(3.15/5.65)*x       - we multiply both sides of the equation by x
100=0.55752212389381*x       - we divide both sides of the equation by (0.55752212389381) to get x
100/0.55752212389381=x
179.36507936508=x
x=179.36507936508

now we have:
5.65 is 179.36507936508% of 3.15