What is 10300 percent of 0.3 - 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 0.3 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 0.3 is 100%, so we can write it down as 0.3=100%.
4. We know, that x is 10300% of the output value, so we can write it down as x=10300%.
5. Now we have two simple equations:
1) 0.3=100%
2) x=10300%
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:
0.3/x=100%/10300%
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 10300% of 0.3

0.3/x=100/10300
(0.3/x)*x=(100/10300)*x       - we multiply both sides of the equation by x
0.3=0.0097087378640777*x       - we divide both sides of the equation by (0.0097087378640777) to get x
0.3/0.0097087378640777=x
30.9=x
x=30.9

now we have:
10300% of 0.3=30.9