What is 45.755 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 45.755% of the output value, so we can write it down as x=45.755%.
5. Now we have two simple equations:
1) 1.5=100%
2) x=45.755%
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%/45.755%
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 45.755% of 1.5

1.5/x=100/45.755
(1.5/x)*x=(100/45.755)*x       - we multiply both sides of the equation by x
1.5=2.1855534914217*x       - we divide both sides of the equation by (2.1855534914217) to get x
1.5/2.1855534914217=x
0.686325=x
x=0.686325

now we have:
45.755% of 1.5=0.686325