5 is what percent of 42300 - 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 42300 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 42300, so we can write it down as 100%=42300.
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%=42300
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%=42300/5
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 42300

100%/x%=42300/5
(100/x)*x=(42300/5)*x       - we multiply both sides of the equation by x
100=8460*x       - we divide both sides of the equation by (8460) to get x
100/8460=x
0.011820330969267=x
x=0.011820330969267

now we have:
5 is 0.011820330969267% of 42300