5.56 is what percent of 78.31 - 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 78.31 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 78.31, so we can write it down as 100%=78.31.
4. We know, that x% equals 5.56 of the output value, so we can write it down as x%=5.56.
5. Now we have two simple equations:
1) 100%=78.31
2) x%=5.56
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%=78.31/5.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.56 is what percent of 78.31

100%/x%=78.31/5.56
(100/x)*x=(78.31/5.56)*x       - we multiply both sides of the equation by x
100=14.084532374101*x       - we divide both sides of the equation by (14.084532374101) to get x
100/14.084532374101=x
7.0999872302388=x
x=7.0999872302388

now we have:
5.56 is 7.0999872302388% of 78.31