1016.8 is what percent of 1402.8 - 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 1402.8 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 1402.8, so we can write it down as 100%=1402.8.
4. We know, that x% equals 1016.8 of the output value, so we can write it down as x%=1016.8.
5. Now we have two simple equations:
1) 100%=1402.8
2) x%=1016.8
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%=1402.8/1016.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1016.8 is what percent of 1402.8

100%/x%=1402.8/1016.8
(100/x)*x=(1402.8/1016.8)*x       - we multiply both sides of the equation by x
100=1.3796223446105*x       - we divide both sides of the equation by (1.3796223446105) to get x
100/1.3796223446105=x
72.483604220131=x
x=72.483604220131

now we have:
1016.8 is 72.483604220131% of 1402.8