523.56 is what percent of 1438 - 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 1438 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 1438, so we can write it down as 100%=1438.
4. We know, that x% equals 523.56 of the output value, so we can write it down as x%=523.56.
5. Now we have two simple equations:
1) 100%=1438
2) x%=523.56
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%=1438/523.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 523.56 is what percent of 1438

100%/x%=1438/523.56
(100/x)*x=(1438/523.56)*x       - we multiply both sides of the equation by x
100=2.7465810986324*x       - we divide both sides of the equation by (2.7465810986324) to get x
100/2.7465810986324=x
36.408901251739=x
x=36.408901251739

now we have:
523.56 is 36.408901251739% of 1438