5.45 is what percent of 8.18 - 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 8.18 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 8.18, so we can write it down as 100%=8.18.
4. We know, that x% equals 5.45 of the output value, so we can write it down as x%=5.45.
5. Now we have two simple equations:
1) 100%=8.18
2) x%=5.45
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%=8.18/5.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.45 is what percent of 8.18

100%/x%=8.18/5.45
(100/x)*x=(8.18/5.45)*x       - we multiply both sides of the equation by x
100=1.5009174311927*x       - we divide both sides of the equation by (1.5009174311927) to get x
100/1.5009174311927=x
66.625916870416=x
x=66.625916870416

now we have:
5.45 is 66.625916870416% of 8.18