5 is what percent of 981 - 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 981 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 981, so we can write it down as 100%=981.
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%=981
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%=981/5
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 981

100%/x%=981/5
(100/x)*x=(981/5)*x       - we multiply both sides of the equation by x
100=196.2*x       - we divide both sides of the equation by (196.2) to get x
100/196.2=x
0.50968399592253=x
x=0.50968399592253

now we have:
5 is 0.50968399592253% of 981