0.053 is what percent of 5 - 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 5 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 5, so we can write it down as 100%=5.
4. We know, that x% equals 0.053 of the output value, so we can write it down as x%=0.053.
5. Now we have two simple equations:
1) 100%=5
2) x%=0.053
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%=5/0.053
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.053 is what percent of 5

100%/x%=5/0.053
(100/x)*x=(5/0.053)*x       - we multiply both sides of the equation by x
100=94.339622641509*x       - we divide both sides of the equation by (94.339622641509) to get x
100/94.339622641509=x
1.06=x
x=1.06

now we have:
0.053 is 1.06% of 5