4.9 is what percent of 53.18 - 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 53.18 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 53.18, so we can write it down as 100%=53.18.
4. We know, that x% equals 4.9 of the output value, so we can write it down as x%=4.9.
5. Now we have two simple equations:
1) 100%=53.18
2) x%=4.9
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%=53.18/4.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.9 is what percent of 53.18

100%/x%=53.18/4.9
(100/x)*x=(53.18/4.9)*x       - we multiply both sides of the equation by x
100=10.85306122449*x       - we divide both sides of the equation by (10.85306122449) to get x
100/10.85306122449=x
9.2139902218879=x
x=9.2139902218879

now we have:
4.9 is 9.2139902218879% of 53.18