73.78 is what percent of 350.32 - 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 350.32 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 350.32, so we can write it down as 100%=350.32.
4. We know, that x% equals 73.78 of the output value, so we can write it down as x%=73.78.
5. Now we have two simple equations:
1) 100%=350.32
2) x%=73.78
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%=350.32/73.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.78 is what percent of 350.32

100%/x%=350.32/73.78
(100/x)*x=(350.32/73.78)*x       - we multiply both sides of the equation by x
100=4.7481702358363*x       - we divide both sides of the equation by (4.7481702358363) to get x
100/4.7481702358363=x
21.060744462206=x
x=21.060744462206

now we have:
73.78 is 21.060744462206% of 350.32