10 is what percent of 1003 - 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 1003 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% equals 1003, so we can write it down as 100%=1003.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=1003
2) x%=10
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%/x%=1003/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 1003

100%/x%=1003/10
(100/x)*x=(1003/10)*x       - we multiply both sides of the equation by x
100=100.3*x       - we divide both sides of the equation by (100.3) to get x
100/100.3=x
0.99700897308076=x
x=0.99700897308076

now we have:
10 is 0.99700897308076% of 1003