8 is what percent of 1835 - 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 1835 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 1835, so we can write it down as 100%=1835.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=1835
2) x%=8
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%=1835/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 1835

100%/x%=1835/8
(100/x)*x=(1835/8)*x       - we multiply both sides of the equation by x
100=229.375*x       - we divide both sides of the equation by (229.375) to get x
100/229.375=x
0.43596730245232=x
x=0.43596730245232

now we have:
8 is 0.43596730245232% of 1835