46 is what percent of 2556 - 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 2556 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 2556, so we can write it down as 100%=2556.
4. We know, that x% equals 46 of the output value, so we can write it down as x%=46.
5. Now we have two simple equations:
1) 100%=2556
2) x%=46
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%=2556/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46 is what percent of 2556

100%/x%=2556/46
(100/x)*x=(2556/46)*x       - we multiply both sides of the equation by x
100=55.565217391304*x       - we divide both sides of the equation by (55.565217391304) to get x
100/55.565217391304=x
1.7996870109546=x
x=1.7996870109546

now we have:
46 is 1.7996870109546% of 2556