35.5 is what percent of 777.7 - 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 777.7 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 777.7, so we can write it down as 100%=777.7.
4. We know, that x% equals 35.5 of the output value, so we can write it down as x%=35.5.
5. Now we have two simple equations:
1) 100%=777.7
2) x%=35.5
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%=777.7/35.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.5 is what percent of 777.7

100%/x%=777.7/35.5
(100/x)*x=(777.7/35.5)*x       - we multiply both sides of the equation by x
100=21.907042253521*x       - we divide both sides of the equation by (21.907042253521) to get x
100/21.907042253521=x
4.5647421885046=x
x=4.5647421885046

now we have:
35.5 is 4.5647421885046% of 777.7