What is 10.03 percent of 100.3 - 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 100.3 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 100.3 is 100%, so we can write it down as 100.3=100%.
4. We know, that x is 10.03% of the output value, so we can write it down as x=10.03%.
5. Now we have two simple equations:
1) 100.3=100%
2) x=10.03%
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:
100.3/x=100%/10.03%
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 10.03% of 100.3

100.3/x=100/10.03
(100.3/x)*x=(100/10.03)*x       - we multiply both sides of the equation by x
100.3=9.9700897308076*x       - we divide both sides of the equation by (9.9700897308076) to get x
100.3/9.9700897308076=x
10.06009=x
x=10.06009

now we have:
10.03% of 100.3=10.06009