77.87 is what percent of 6000 - 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 6000 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 6000, so we can write it down as 100%=6000.
4. We know, that x% equals 77.87 of the output value, so we can write it down as x%=77.87.
5. Now we have two simple equations:
1) 100%=6000
2) x%=77.87
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%=6000/77.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.87 is what percent of 6000

100%/x%=6000/77.87
(100/x)*x=(6000/77.87)*x       - we multiply both sides of the equation by x
100=77.051496083216*x       - we divide both sides of the equation by (77.051496083216) to get x
100/77.051496083216=x
1.2978333333333=x
x=1.2978333333333

now we have:
77.87 is 1.2978333333333% of 6000