97.47 is what percent of 513.01 - 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 513.01 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 513.01, so we can write it down as 100%=513.01.
4. We know, that x% equals 97.47 of the output value, so we can write it down as x%=97.47.
5. Now we have two simple equations:
1) 100%=513.01
2) x%=97.47
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%=513.01/97.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.47 is what percent of 513.01

100%/x%=513.01/97.47
(100/x)*x=(513.01/97.47)*x       - we multiply both sides of the equation by x
100=5.2632604904073*x       - we divide both sides of the equation by (5.2632604904073) to get x
100/5.2632604904073=x
18.999629636849=x
x=18.999629636849

now we have:
97.47 is 18.999629636849% of 513.01