56 is what percent of 78.4 - 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 78.4 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 78.4, so we can write it down as 100%=78.4.
4. We know, that x% equals 56 of the output value, so we can write it down as x%=56.
5. Now we have two simple equations:
1) 100%=78.4
2) x%=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%=78.4/56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56 is what percent of 78.4

100%/x%=78.4/56
(100/x)*x=(78.4/56)*x       - we multiply both sides of the equation by x
100=1.4*x       - we divide both sides of the equation by (1.4) to get x
100/1.4=x
71.428571428571=x
x=71.428571428571

now we have:
56 is 71.428571428571% of 78.4