55 is what percent of 1931 - 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 1931 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 1931, so we can write it down as 100%=1931.
4. We know, that x% equals 55 of the output value, so we can write it down as x%=55.
5. Now we have two simple equations:
1) 100%=1931
2) x%=55
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%=1931/55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55 is what percent of 1931

100%/x%=1931/55
(100/x)*x=(1931/55)*x       - we multiply both sides of the equation by x
100=35.109090909091*x       - we divide both sides of the equation by (35.109090909091) to get x
100/35.109090909091=x
2.8482651475919=x
x=2.8482651475919

now we have:
55 is 2.8482651475919% of 1931