5 is what percent of 802 - 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 802 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 802, so we can write it down as 100%=802.
4. We know, that x% equals 5 of the output value, so we can write it down as x%=5.
5. Now we have two simple equations:
1) 100%=802
2) x%=5
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%=802/5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5 is what percent of 802

100%/x%=802/5
(100/x)*x=(802/5)*x       - we multiply both sides of the equation by x
100=160.4*x       - we divide both sides of the equation by (160.4) to get x
100/160.4=x
0.62344139650873=x
x=0.62344139650873

now we have:
5 is 0.62344139650873% of 802