5 is what percent of 1138 - 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 1138 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 1138, so we can write it down as 100%=1138.
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%=1138
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%=1138/5
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 1138

100%/x%=1138/5
(100/x)*x=(1138/5)*x       - we multiply both sides of the equation by x
100=227.6*x       - we divide both sides of the equation by (227.6) to get x
100/227.6=x
0.43936731107206=x
x=0.43936731107206

now we have:
5 is 0.43936731107206% of 1138