77 is what percent of 5190 - 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 5190 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 5190, so we can write it down as 100%=5190.
4. We know, that x% equals 77 of the output value, so we can write it down as x%=77.
5. Now we have two simple equations:
1) 100%=5190
2) x%=77
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%=5190/77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77 is what percent of 5190

100%/x%=5190/77
(100/x)*x=(5190/77)*x       - we multiply both sides of the equation by x
100=67.402597402597*x       - we divide both sides of the equation by (67.402597402597) to get x
100/67.402597402597=x
1.4836223506744=x
x=1.4836223506744

now we have:
77 is 1.4836223506744% of 5190