10 is what percent of 10.45 - 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 10.45 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 10.45, so we can write it down as 100%=10.45.
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%=10.45
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%=10.45/10
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 10.45

100%/x%=10.45/10
(100/x)*x=(10.45/10)*x       - we multiply both sides of the equation by x
100=1.045*x       - we divide both sides of the equation by (1.045) to get x
100/1.045=x
95.693779904306=x
x=95.693779904306

now we have:
10 is 95.693779904306% of 10.45