67.9 is what percent of 3504.4 - 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 3504.4 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 3504.4, so we can write it down as 100%=3504.4.
4. We know, that x% equals 67.9 of the output value, so we can write it down as x%=67.9.
5. Now we have two simple equations:
1) 100%=3504.4
2) x%=67.9
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%=3504.4/67.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.9 is what percent of 3504.4

100%/x%=3504.4/67.9
(100/x)*x=(3504.4/67.9)*x       - we multiply both sides of the equation by x
100=51.611192930781*x       - we divide both sides of the equation by (51.611192930781) to get x
100/51.611192930781=x
1.9375642049994=x
x=1.9375642049994

now we have:
67.9 is 1.9375642049994% of 3504.4