19.96 is what percent of 677.85 - 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 677.85 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 677.85, so we can write it down as 100%=677.85.
4. We know, that x% equals 19.96 of the output value, so we can write it down as x%=19.96.
5. Now we have two simple equations:
1) 100%=677.85
2) x%=19.96
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%=677.85/19.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.96 is what percent of 677.85

100%/x%=677.85/19.96
(100/x)*x=(677.85/19.96)*x       - we multiply both sides of the equation by x
100=33.960420841683*x       - we divide both sides of the equation by (33.960420841683) to get x
100/33.960420841683=x
2.9446042634801=x
x=2.9446042634801

now we have:
19.96 is 2.9446042634801% of 677.85