827.2 is what percent of 55000 - 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 55000 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 55000, so we can write it down as 100%=55000.
4. We know, that x% equals 827.2 of the output value, so we can write it down as x%=827.2.
5. Now we have two simple equations:
1) 100%=55000
2) x%=827.2
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%=55000/827.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 827.2 is what percent of 55000

100%/x%=55000/827.2
(100/x)*x=(55000/827.2)*x       - we multiply both sides of the equation by x
100=66.489361702128*x       - we divide both sides of the equation by (66.489361702128) to get x
100/66.489361702128=x
1.504=x
x=1.504

now we have:
827.2 is 1.504% of 55000