0.78 is what percent of 180.09 - 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 180.09 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 180.09, so we can write it down as 100%=180.09.
4. We know, that x% equals 0.78 of the output value, so we can write it down as x%=0.78.
5. Now we have two simple equations:
1) 100%=180.09
2) x%=0.78
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%=180.09/0.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.78 is what percent of 180.09

100%/x%=180.09/0.78
(100/x)*x=(180.09/0.78)*x       - we multiply both sides of the equation by x
100=230.88461538462*x       - we divide both sides of the equation by (230.88461538462) to get x
100/230.88461538462=x
0.43311677494586=x
x=0.43311677494586

now we have:
0.78 is 0.43311677494586% of 180.09