34.21 is what percent of 316.67 - 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 316.67 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 316.67, so we can write it down as 100%=316.67.
4. We know, that x% equals 34.21 of the output value, so we can write it down as x%=34.21.
5. Now we have two simple equations:
1) 100%=316.67
2) x%=34.21
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%=316.67/34.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.21 is what percent of 316.67

100%/x%=316.67/34.21
(100/x)*x=(316.67/34.21)*x       - we multiply both sides of the equation by x
100=9.2566501023093*x       - we divide both sides of the equation by (9.2566501023093) to get x
100/9.2566501023093=x
10.803044178482=x
x=10.803044178482

now we have:
34.21 is 10.803044178482% of 316.67