490.93 is what percent of 692.54 - 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 692.54 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 692.54, so we can write it down as 100%=692.54.
4. We know, that x% equals 490.93 of the output value, so we can write it down as x%=490.93.
5. Now we have two simple equations:
1) 100%=692.54
2) x%=490.93
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%=692.54/490.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 490.93 is what percent of 692.54

100%/x%=692.54/490.93
(100/x)*x=(692.54/490.93)*x       - we multiply both sides of the equation by x
100=1.4106695455564*x       - we divide both sides of the equation by (1.4106695455564) to get x
100/1.4106695455564=x
70.888324140122=x
x=70.888324140122

now we have:
490.93 is 70.888324140122% of 692.54