56 is what percent of 929 - 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 929 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 929, so we can write it down as 100%=929.
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%=929
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%=929/56
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 929

100%/x%=929/56
(100/x)*x=(929/56)*x       - we multiply both sides of the equation by x
100=16.589285714286*x       - we divide both sides of the equation by (16.589285714286) to get x
100/16.589285714286=x
6.0279870828848=x
x=6.0279870828848

now we have:
56 is 6.0279870828848% of 929