8.1 is what percent of 1.5 - 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 1.5 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 1.5, so we can write it down as 100%=1.5.
4. We know, that x% equals 8.1 of the output value, so we can write it down as x%=8.1.
5. Now we have two simple equations:
1) 100%=1.5
2) x%=8.1
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%=1.5/8.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.1 is what percent of 1.5

100%/x%=1.5/8.1
(100/x)*x=(1.5/8.1)*x       - we multiply both sides of the equation by x
100=0.18518518518519*x       - we divide both sides of the equation by (0.18518518518519) to get x
100/0.18518518518519=x
540=x
x=540

now we have:
8.1 is 540% of 1.5