77 is what percent of 1453 - 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 1453 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 1453, so we can write it down as 100%=1453.
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%=1453
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%=1453/77
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 1453

100%/x%=1453/77
(100/x)*x=(1453/77)*x       - we multiply both sides of the equation by x
100=18.87012987013*x       - we divide both sides of the equation by (18.87012987013) to get x
100/18.87012987013=x
5.2993805918789=x
x=5.2993805918789

now we have:
77 is 5.2993805918789% of 1453