3.5 is what percent of 53 - 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 53 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 53, so we can write it down as 100%=53.
4. We know, that x% equals 3.5 of the output value, so we can write it down as x%=3.5.
5. Now we have two simple equations:
1) 100%=53
2) x%=3.5
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%=53/3.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.5 is what percent of 53

100%/x%=53/3.5
(100/x)*x=(53/3.5)*x       - we multiply both sides of the equation by x
100=15.142857142857*x       - we divide both sides of the equation by (15.142857142857) to get x
100/15.142857142857=x
6.6037735849057=x
x=6.6037735849057

now we have:
3.5 is 6.6037735849057% of 53