42717.19 is what percent of 853.84 - 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 853.84 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 853.84, so we can write it down as 100%=853.84.
4. We know, that x% equals 42717.19 of the output value, so we can write it down as x%=42717.19.
5. Now we have two simple equations:
1) 100%=853.84
2) x%=42717.19
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%=853.84/42717.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42717.19 is what percent of 853.84

100%/x%=853.84/42717.19
(100/x)*x=(853.84/42717.19)*x       - we multiply both sides of the equation by x
100=0.019988206153073*x       - we divide both sides of the equation by (0.019988206153073) to get x
100/0.019988206153073=x
5002.9502014429=x
x=5002.9502014429

now we have:
42717.19 is 5002.9502014429% of 853.84