10.71 is what percent of 7.11 - 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 7.11 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 7.11, so we can write it down as 100%=7.11.
4. We know, that x% equals 10.71 of the output value, so we can write it down as x%=10.71.
5. Now we have two simple equations:
1) 100%=7.11
2) x%=10.71
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%=7.11/10.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.71 is what percent of 7.11

100%/x%=7.11/10.71
(100/x)*x=(7.11/10.71)*x       - we multiply both sides of the equation by x
100=0.66386554621849*x       - we divide both sides of the equation by (0.66386554621849) to get x
100/0.66386554621849=x
150.63291139241=x
x=150.63291139241

now we have:
10.71 is 150.63291139241% of 7.11