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

7. Solution for 14.04 is what percent of 10.01

100%/x%=10.01/14.04
(100/x)*x=(10.01/14.04)*x       - we multiply both sides of the equation by x
100=0.71296296296296*x       - we divide both sides of the equation by (0.71296296296296) to get x
100/0.71296296296296=x
140.25974025974=x
x=140.25974025974

now we have:
14.04 is 140.25974025974% of 10.01