67.34 is what percent of 357.74 - 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 357.74 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 357.74, so we can write it down as 100%=357.74.
4. We know, that x% equals 67.34 of the output value, so we can write it down as x%=67.34.
5. Now we have two simple equations:
1) 100%=357.74
2) x%=67.34
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%=357.74/67.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.34 is what percent of 357.74

100%/x%=357.74/67.34
(100/x)*x=(357.74/67.34)*x       - we multiply both sides of the equation by x
100=5.3124443124443*x       - we divide both sides of the equation by (5.3124443124443) to get x
100/5.3124443124443=x
18.823726728909=x
x=18.823726728909

now we have:
67.34 is 18.823726728909% of 357.74