46 is what percent of 1716 - 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 1716 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 1716, so we can write it down as 100%=1716.
4. We know, that x% equals 46 of the output value, so we can write it down as x%=46.
5. Now we have two simple equations:
1) 100%=1716
2) x%=46
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%=1716/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46 is what percent of 1716

100%/x%=1716/46
(100/x)*x=(1716/46)*x       - we multiply both sides of the equation by x
100=37.304347826087*x       - we divide both sides of the equation by (37.304347826087) to get x
100/37.304347826087=x
2.6806526806527=x
x=2.6806526806527

now we have:
46 is 2.6806526806527% of 1716