967.33 is what percent of 13700 - 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 13700 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 13700, so we can write it down as 100%=13700.
4. We know, that x% equals 967.33 of the output value, so we can write it down as x%=967.33.
5. Now we have two simple equations:
1) 100%=13700
2) x%=967.33
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%=13700/967.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 967.33 is what percent of 13700

100%/x%=13700/967.33
(100/x)*x=(13700/967.33)*x       - we multiply both sides of the equation by x
100=14.162695253946*x       - we divide both sides of the equation by (14.162695253946) to get x
100/14.162695253946=x
7.060802919708=x
x=7.060802919708

now we have:
967.33 is 7.060802919708% of 13700