77.7 is what percent of 347.5 - 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 347.5 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 347.5, so we can write it down as 100%=347.5.
4. We know, that x% equals 77.7 of the output value, so we can write it down as x%=77.7.
5. Now we have two simple equations:
1) 100%=347.5
2) x%=77.7
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%=347.5/77.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.7 is what percent of 347.5

100%/x%=347.5/77.7
(100/x)*x=(347.5/77.7)*x       - we multiply both sides of the equation by x
100=4.4723294723295*x       - we divide both sides of the equation by (4.4723294723295) to get x
100/4.4723294723295=x
22.359712230216=x
x=22.359712230216

now we have:
77.7 is 22.359712230216% of 347.5