8.86 is what percent of 5.46 - 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 5.46 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 5.46, so we can write it down as 100%=5.46.
4. We know, that x% equals 8.86 of the output value, so we can write it down as x%=8.86.
5. Now we have two simple equations:
1) 100%=5.46
2) x%=8.86
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%=5.46/8.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.86 is what percent of 5.46

100%/x%=5.46/8.86
(100/x)*x=(5.46/8.86)*x       - we multiply both sides of the equation by x
100=0.61625282167043*x       - we divide both sides of the equation by (0.61625282167043) to get x
100/0.61625282167043=x
162.27106227106=x
x=162.27106227106

now we have:
8.86 is 162.27106227106% of 5.46