What is 62.385 percent of 1.024 - 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 1.024 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 1.024 is 100%, so we can write it down as 1.024=100%.
4. We know, that x is 62.385% of the output value, so we can write it down as x=62.385%.
5. Now we have two simple equations:
1) 1.024=100%
2) x=62.385%
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:
1.024/x=100%/62.385%
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 62.385% of 1.024

1.024/x=100/62.385
(1.024/x)*x=(100/62.385)*x       - we multiply both sides of the equation by x
1.024=1.6029494269456*x       - we divide both sides of the equation by (1.6029494269456) to get x
1.024/1.6029494269456=x
0.6388224=x
x=0.6388224

now we have:
62.385% of 1.024=0.6388224