10 is what percent of 0.034 - 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 0.034 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 0.034, so we can write it down as 100%=0.034.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=0.034
2) x%=10
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%=0.034/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 0.034

100%/x%=0.034/10
(100/x)*x=(0.034/10)*x       - we multiply both sides of the equation by x
100=0.0034*x       - we divide both sides of the equation by (0.0034) to get x
100/0.0034=x
29411.764705882=x
x=29411.764705882

now we have:
10 is 29411.764705882% of 0.034