5.31 is what percent of 106.22 - 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 106.22 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 106.22, so we can write it down as 100%=106.22.
4. We know, that x% equals 5.31 of the output value, so we can write it down as x%=5.31.
5. Now we have two simple equations:
1) 100%=106.22
2) x%=5.31
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%=106.22/5.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.31 is what percent of 106.22

100%/x%=106.22/5.31
(100/x)*x=(106.22/5.31)*x       - we multiply both sides of the equation by x
100=20.003766478343*x       - we divide both sides of the equation by (20.003766478343) to get x
100/20.003766478343=x
4.9990585577104=x
x=4.9990585577104

now we have:
5.31 is 4.9990585577104% of 106.22