109.78 is what percent of 1696 - 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 1696 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 1696, so we can write it down as 100%=1696.
4. We know, that x% equals 109.78 of the output value, so we can write it down as x%=109.78.
5. Now we have two simple equations:
1) 100%=1696
2) x%=109.78
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%=1696/109.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.78 is what percent of 1696

100%/x%=1696/109.78
(100/x)*x=(1696/109.78)*x       - we multiply both sides of the equation by x
100=15.449079978138*x       - we divide both sides of the equation by (15.449079978138) to get x
100/15.449079978138=x
6.4728773584906=x
x=6.4728773584906

now we have:
109.78 is 6.4728773584906% of 1696