542.63 is what percent of 842.37 - 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 842.37 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 842.37, so we can write it down as 100%=842.37.
4. We know, that x% equals 542.63 of the output value, so we can write it down as x%=542.63.
5. Now we have two simple equations:
1) 100%=842.37
2) x%=542.63
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%=842.37/542.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 542.63 is what percent of 842.37

100%/x%=842.37/542.63
(100/x)*x=(842.37/542.63)*x       - we multiply both sides of the equation by x
100=1.5523837605735*x       - we divide both sides of the equation by (1.5523837605735) to get x
100/1.5523837605735=x
64.417061386327=x
x=64.417061386327

now we have:
542.63 is 64.417061386327% of 842.37