What is 1.48 percent of 10.064 - 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 10.064 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 10.064 is 100%, so we can write it down as 10.064=100%.
4. We know, that x is 1.48% of the output value, so we can write it down as x=1.48%.
5. Now we have two simple equations:
1) 10.064=100%
2) x=1.48%
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:
10.064/x=100%/1.48%
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 1.48% of 10.064

10.064/x=100/1.48
(10.064/x)*x=(100/1.48)*x       - we multiply both sides of the equation by x
10.064=67.567567567568*x       - we divide both sides of the equation by (67.567567567568) to get x
10.064/67.567567567568=x
0.1489472=x
x=0.1489472

now we have:
1.48% of 10.064=0.1489472