55 is what percent of 893 - 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 893 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 893, so we can write it down as 100%=893.
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%=893
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%=893/55
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 893

100%/x%=893/55
(100/x)*x=(893/55)*x       - we multiply both sides of the equation by x
100=16.236363636364*x       - we divide both sides of the equation by (16.236363636364) to get x
100/16.236363636364=x
6.1590145576708=x
x=6.1590145576708

now we have:
55 is 6.1590145576708% of 893