19 is what percent of 776 - 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 776 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 776, so we can write it down as 100%=776.
4. We know, that x% equals 19 of the output value, so we can write it down as x%=19.
5. Now we have two simple equations:
1) 100%=776
2) x%=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%=776/19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19 is what percent of 776

100%/x%=776/19
(100/x)*x=(776/19)*x       - we multiply both sides of the equation by x
100=40.842105263158*x       - we divide both sides of the equation by (40.842105263158) to get x
100/40.842105263158=x
2.4484536082474=x
x=2.4484536082474

now we have:
19 is 2.4484536082474% of 776