754.49 is what percent of 1046 - 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 1046 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 1046, so we can write it down as 100%=1046.
4. We know, that x% equals 754.49 of the output value, so we can write it down as x%=754.49.
5. Now we have two simple equations:
1) 100%=1046
2) x%=754.49
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%=1046/754.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 754.49 is what percent of 1046

100%/x%=1046/754.49
(100/x)*x=(1046/754.49)*x       - we multiply both sides of the equation by x
100=1.3863669498602*x       - we divide both sides of the equation by (1.3863669498602) to get x
100/1.3863669498602=x
72.130975143403=x
x=72.130975143403

now we have:
754.49 is 72.130975143403% of 1046