10.01 is what percent of 14.04 - 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 14.04 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 14.04, so we can write it down as 100%=14.04.
4. We know, that x% equals 10.01 of the output value, so we can write it down as x%=10.01.
5. Now we have two simple equations:
1) 100%=14.04
2) x%=10.01
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%=14.04/10.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.01 is what percent of 14.04

100%/x%=14.04/10.01
(100/x)*x=(14.04/10.01)*x       - we multiply both sides of the equation by x
100=1.4025974025974*x       - we divide both sides of the equation by (1.4025974025974) to get x
100/1.4025974025974=x
71.296296296296=x
x=71.296296296296

now we have:
10.01 is 71.296296296296% of 14.04