102.01 is what percent of 10.303 - 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 10.303 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 10.303, so we can write it down as 100%=10.303.
4. We know, that x% equals 102.01 of the output value, so we can write it down as x%=102.01.
5. Now we have two simple equations:
1) 100%=10.303
2) x%=102.01
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%=10.303/102.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.01 is what percent of 10.303

100%/x%=10.303/102.01
(100/x)*x=(10.303/102.01)*x       - we multiply both sides of the equation by x
100=0.1009999019704*x       - we divide both sides of the equation by (0.1009999019704) to get x
100/0.1009999019704=x
990.09997088227=x
x=990.09997088227

now we have:
102.01 is 990.09997088227% of 10.303