0.74 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 0.74 of the output value, so we can write it down as x%=0.74.
5. Now we have two simple equations:
1) 100%=10.01
2) x%=0.74
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%=10.01/0.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.74 is what percent of 10.01

100%/x%=10.01/0.74
(100/x)*x=(10.01/0.74)*x       - we multiply both sides of the equation by x
100=13.527027027027*x       - we divide both sides of the equation by (13.527027027027) to get x
100/13.527027027027=x
7.3926073926074=x
x=7.3926073926074

now we have:
0.74 is 7.3926073926074% of 10.01