77 is what percent of 1535 - 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 1535 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 1535, so we can write it down as 100%=1535.
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%=1535
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%=1535/77
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 1535

100%/x%=1535/77
(100/x)*x=(1535/77)*x       - we multiply both sides of the equation by x
100=19.935064935065*x       - we divide both sides of the equation by (19.935064935065) to get x
100/19.935064935065=x
5.0162866449511=x
x=5.0162866449511

now we have:
77 is 5.0162866449511% of 1535