56 is what percent of 946 - 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 946 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 946, so we can write it down as 100%=946.
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%=946
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%=946/56
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 946

100%/x%=946/56
(100/x)*x=(946/56)*x       - we multiply both sides of the equation by x
100=16.892857142857*x       - we divide both sides of the equation by (16.892857142857) to get x
100/16.892857142857=x
5.9196617336152=x
x=5.9196617336152

now we have:
56 is 5.9196617336152% of 946