52.09 is what percent of 67.65 - 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 67.65 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 67.65, so we can write it down as 100%=67.65.
4. We know, that x% equals 52.09 of the output value, so we can write it down as x%=52.09.
5. Now we have two simple equations:
1) 100%=67.65
2) x%=52.09
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%=67.65/52.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.09 is what percent of 67.65

100%/x%=67.65/52.09
(100/x)*x=(67.65/52.09)*x       - we multiply both sides of the equation by x
100=1.2987137646381*x       - we divide both sides of the equation by (1.2987137646381) to get x
100/1.2987137646381=x
76.9992609017=x
x=76.9992609017

now we have:
52.09 is 76.9992609017% of 67.65