73 is what percent of 1406 - 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 1406 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 1406, so we can write it down as 100%=1406.
4. We know, that x% equals 73 of the output value, so we can write it down as x%=73.
5. Now we have two simple equations:
1) 100%=1406
2) x%=73
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%=1406/73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73 is what percent of 1406

100%/x%=1406/73
(100/x)*x=(1406/73)*x       - we multiply both sides of the equation by x
100=19.260273972603*x       - we divide both sides of the equation by (19.260273972603) to get x
100/19.260273972603=x
5.1920341394026=x
x=5.1920341394026

now we have:
73 is 5.1920341394026% of 1406