51.98 is what percent of 5109.43 - 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 5109.43 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 5109.43, so we can write it down as 100%=5109.43.
4. We know, that x% equals 51.98 of the output value, so we can write it down as x%=51.98.
5. Now we have two simple equations:
1) 100%=5109.43
2) x%=51.98
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%=5109.43/51.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.98 is what percent of 5109.43

100%/x%=5109.43/51.98
(100/x)*x=(5109.43/51.98)*x       - we multiply both sides of the equation by x
100=98.296075413621*x       - we divide both sides of the equation by (98.296075413621) to get x
100/98.296075413621=x
1.0173346146243=x
x=1.0173346146243

now we have:
51.98 is 1.0173346146243% of 5109.43