56.9 is what percent of 121 - 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 121 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 121, so we can write it down as 100%=121.
4. We know, that x% equals 56.9 of the output value, so we can write it down as x%=56.9.
5. Now we have two simple equations:
1) 100%=121
2) x%=56.9
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%=121/56.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.9 is what percent of 121

100%/x%=121/56.9
(100/x)*x=(121/56.9)*x       - we multiply both sides of the equation by x
100=2.1265377855888*x       - we divide both sides of the equation by (2.1265377855888) to get x
100/2.1265377855888=x
47.02479338843=x
x=47.02479338843

now we have:
56.9 is 47.02479338843% of 121