46.81 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 46.81 of the output value, so we can write it down as x%=46.81.
5. Now we have two simple equations:
1) 100%=1517
2) x%=46.81
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%=1517/46.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.81 is what percent of 1517

100%/x%=1517/46.81
(100/x)*x=(1517/46.81)*x       - we multiply both sides of the equation by x
100=32.407605212561*x       - we divide both sides of the equation by (32.407605212561) to get x
100/32.407605212561=x
3.0856954515491=x
x=3.0856954515491

now we have:
46.81 is 3.0856954515491% of 1517