542.98 is what percent of 842.49 - 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 842.49 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 842.49, so we can write it down as 100%=842.49.
4. We know, that x% equals 542.98 of the output value, so we can write it down as x%=542.98.
5. Now we have two simple equations:
1) 100%=842.49
2) x%=542.98
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%=842.49/542.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 542.98 is what percent of 842.49

100%/x%=842.49/542.98
(100/x)*x=(842.49/542.98)*x       - we multiply both sides of the equation by x
100=1.5516041106486*x       - we divide both sides of the equation by (1.5516041106486) to get x
100/1.5516041106486=x
64.449429666821=x
x=64.449429666821

now we have:
542.98 is 64.449429666821% of 842.49