What is 101.5 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 1.5 is 100%, so we can write it down as 1.5=100%.
4. We know, that x is 101.5% of the output value, so we can write it down as x=101.5%.
5. Now we have two simple equations:
1) 1.5=100%
2) x=101.5%
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:
1.5/x=100%/101.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 101.5% of 1.5

1.5/x=100/101.5
(1.5/x)*x=(100/101.5)*x       - we multiply both sides of the equation by x
1.5=0.98522167487685*x       - we divide both sides of the equation by (0.98522167487685) to get x
1.5/0.98522167487685=x
1.5225=x
x=1.5225

now we have:
101.5% of 1.5=1.5225