2777.67 is what percent of 15750 - 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 15750 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 15750, so we can write it down as 100%=15750.
4. We know, that x% equals 2777.67 of the output value, so we can write it down as x%=2777.67.
5. Now we have two simple equations:
1) 100%=15750
2) x%=2777.67
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%=15750/2777.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2777.67 is what percent of 15750

100%/x%=15750/2777.67
(100/x)*x=(15750/2777.67)*x       - we multiply both sides of the equation by x
100=5.6702200045362*x       - we divide both sides of the equation by (5.6702200045362) to get x
100/5.6702200045362=x
17.636=x
x=17.636

now we have:
2777.67 is 17.636% of 15750