13.11 is what percent of 701 - 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 701 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 701, so we can write it down as 100%=701.
4. We know, that x% equals 13.11 of the output value, so we can write it down as x%=13.11.
5. Now we have two simple equations:
1) 100%=701
2) x%=13.11
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%=701/13.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.11 is what percent of 701

100%/x%=701/13.11
(100/x)*x=(701/13.11)*x       - we multiply both sides of the equation by x
100=53.4706331045*x       - we divide both sides of the equation by (53.4706331045) to get x
100/53.4706331045=x
1.8701854493581=x
x=1.8701854493581

now we have:
13.11 is 1.8701854493581% of 701