537.14 is what percent of 743.2 - 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 743.2 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 743.2, so we can write it down as 100%=743.2.
4. We know, that x% equals 537.14 of the output value, so we can write it down as x%=537.14.
5. Now we have two simple equations:
1) 100%=743.2
2) x%=537.14
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%=743.2/537.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 537.14 is what percent of 743.2

100%/x%=743.2/537.14
(100/x)*x=(743.2/537.14)*x       - we multiply both sides of the equation by x
100=1.3836243809808*x       - we divide both sides of the equation by (1.3836243809808) to get x
100/1.3836243809808=x
72.273950484392=x
x=72.273950484392

now we have:
537.14 is 72.273950484392% of 743.2