What is 5.33 percent of 769.230769 - 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 769.230769 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 769.230769 is 100%, so we can write it down as 769.230769=100%.
4. We know, that x is 5.33% of the output value, so we can write it down as x=5.33%.
5. Now we have two simple equations:
1) 769.230769=100%
2) x=5.33%
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:
769.230769/x=100%/5.33%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 5.33% of 769.230769

769.230769/x=100/5.33
(769.230769/x)*x=(100/5.33)*x       - we multiply both sides of the equation by x
769.230769=18.761726078799*x       - we divide both sides of the equation by (18.761726078799) to get x
769.230769/18.761726078799=x
40.9999999877=x
x=40.9999999877

now we have:
5.33% of 769.230769=40.9999999877