78.78 is what percent of 537.5 - 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 537.5 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 537.5, so we can write it down as 100%=537.5.
4. We know, that x% equals 78.78 of the output value, so we can write it down as x%=78.78.
5. Now we have two simple equations:
1) 100%=537.5
2) x%=78.78
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%=537.5/78.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.78 is what percent of 537.5

100%/x%=537.5/78.78
(100/x)*x=(537.5/78.78)*x       - we multiply both sides of the equation by x
100=6.8227976643818*x       - we divide both sides of the equation by (6.8227976643818) to get x
100/6.8227976643818=x
14.656744186047=x
x=14.656744186047

now we have:
78.78 is 14.656744186047% of 537.5