457.3 is what percent of 1340 - 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 1340 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 1340, so we can write it down as 100%=1340.
4. We know, that x% equals 457.3 of the output value, so we can write it down as x%=457.3.
5. Now we have two simple equations:
1) 100%=1340
2) x%=457.3
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%=1340/457.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 457.3 is what percent of 1340

100%/x%=1340/457.3
(100/x)*x=(1340/457.3)*x       - we multiply both sides of the equation by x
100=2.9302427290619*x       - we divide both sides of the equation by (2.9302427290619) to get x
100/2.9302427290619=x
34.126865671642=x
x=34.126865671642

now we have:
457.3 is 34.126865671642% of 1340