34.7 is what percent of 315.7 - 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 315.7 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 315.7, so we can write it down as 100%=315.7.
4. We know, that x% equals 34.7 of the output value, so we can write it down as x%=34.7.
5. Now we have two simple equations:
1) 100%=315.7
2) x%=34.7
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%=315.7/34.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.7 is what percent of 315.7

100%/x%=315.7/34.7
(100/x)*x=(315.7/34.7)*x       - we multiply both sides of the equation by x
100=9.0979827089337*x       - we divide both sides of the equation by (9.0979827089337) to get x
100/9.0979827089337=x
10.991447576813=x
x=10.991447576813

now we have:
34.7 is 10.991447576813% of 315.7