297.82 is what percent of 1517 - 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 1517 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 1517, so we can write it down as 100%=1517.
4. We know, that x% equals 297.82 of the output value, so we can write it down as x%=297.82.
5. Now we have two simple equations:
1) 100%=1517
2) x%=297.82
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%=1517/297.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 297.82 is what percent of 1517

100%/x%=1517/297.82
(100/x)*x=(1517/297.82)*x       - we multiply both sides of the equation by x
100=5.0936807467598*x       - we divide both sides of the equation by (5.0936807467598) to get x
100/5.0936807467598=x
19.63216875412=x
x=19.63216875412

now we have:
297.82 is 19.63216875412% of 1517