77 is what percent of 1598 - 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 1598 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 1598, so we can write it down as 100%=1598.
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%=1598
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%=1598/77
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 1598

100%/x%=1598/77
(100/x)*x=(1598/77)*x       - we multiply both sides of the equation by x
100=20.753246753247*x       - we divide both sides of the equation by (20.753246753247) to get x
100/20.753246753247=x
4.8185231539424=x
x=4.8185231539424

now we have:
77 is 4.8185231539424% of 1598