542.98 is what percent of 623.76 - 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 623.76 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 623.76, so we can write it down as 100%=623.76.
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%=623.76
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%=623.76/542.98
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 623.76

100%/x%=623.76/542.98
(100/x)*x=(623.76/542.98)*x       - we multiply both sides of the equation by x
100=1.1487715937972*x       - we divide both sides of the equation by (1.1487715937972) to get x
100/1.1487715937972=x
87.049506220341=x
x=87.049506220341

now we have:
542.98 is 87.049506220341% of 623.76