10 is what percent of 95.7 - 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 95.7 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 95.7, so we can write it down as 100%=95.7.
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%=95.7
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%=95.7/10
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 95.7

100%/x%=95.7/10
(100/x)*x=(95.7/10)*x       - we multiply both sides of the equation by x
100=9.57*x       - we divide both sides of the equation by (9.57) to get x
100/9.57=x
10.449320794148=x
x=10.449320794148

now we have:
10 is 10.449320794148% of 95.7