5.28 is what percent of 98.63 - 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 98.63 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 98.63, so we can write it down as 100%=98.63.
4. We know, that x% equals 5.28 of the output value, so we can write it down as x%=5.28.
5. Now we have two simple equations:
1) 100%=98.63
2) x%=5.28
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%=98.63/5.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.28 is what percent of 98.63

100%/x%=98.63/5.28
(100/x)*x=(98.63/5.28)*x       - we multiply both sides of the equation by x
100=18.679924242424*x       - we divide both sides of the equation by (18.679924242424) to get x
100/18.679924242424=x
5.3533407685288=x
x=5.3533407685288

now we have:
5.28 is 5.3533407685288% of 98.63