7.31 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 7.31 of the output value, so we can write it down as x%=7.31.
5. Now we have two simple equations:
1) 100%=10.01
2) x%=7.31
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%=10.01/7.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.31 is what percent of 10.01

100%/x%=10.01/7.31
(100/x)*x=(10.01/7.31)*x       - we multiply both sides of the equation by x
100=1.3693570451436*x       - we divide both sides of the equation by (1.3693570451436) to get x
100/1.3693570451436=x
73.026973026973=x
x=73.026973026973

now we have:
7.31 is 73.026973026973% of 10.01