5 is what percent of 7422 - 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 7422 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 7422, so we can write it down as 100%=7422.
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%=7422
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%=7422/5
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 7422

100%/x%=7422/5
(100/x)*x=(7422/5)*x       - we multiply both sides of the equation by x
100=1484.4*x       - we divide both sides of the equation by (1484.4) to get x
100/1484.4=x
0.067367286445702=x
x=0.067367286445702

now we have:
5 is 0.067367286445702% of 7422