84 is what percent of 1448 - 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 1448 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 1448, so we can write it down as 100%=1448.
4. We know, that x% equals 84 of the output value, so we can write it down as x%=84.
5. Now we have two simple equations:
1) 100%=1448
2) x%=84
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%=1448/84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84 is what percent of 1448

100%/x%=1448/84
(100/x)*x=(1448/84)*x       - we multiply both sides of the equation by x
100=17.238095238095*x       - we divide both sides of the equation by (17.238095238095) to get x
100/17.238095238095=x
5.8011049723757=x
x=5.8011049723757

now we have:
84 is 5.8011049723757% of 1448