47.56 is what percent of 697.56 - 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 697.56 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 697.56, so we can write it down as 100%=697.56.
4. We know, that x% equals 47.56 of the output value, so we can write it down as x%=47.56.
5. Now we have two simple equations:
1) 100%=697.56
2) x%=47.56
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%=697.56/47.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.56 is what percent of 697.56

100%/x%=697.56/47.56
(100/x)*x=(697.56/47.56)*x       - we multiply both sides of the equation by x
100=14.666947014298*x       - we divide both sides of the equation by (14.666947014298) to get x
100/14.666947014298=x
6.8180514937783=x
x=6.8180514937783

now we have:
47.56 is 6.8180514937783% of 697.56