10.01 is what percent of 10000.7 - 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 10000.7 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 10000.7, so we can write it down as 100%=10000.7.
4. We know, that x% equals 10.01 of the output value, so we can write it down as x%=10.01.
5. Now we have two simple equations:
1) 100%=10000.7
2) x%=10.01
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%=10000.7/10.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.01 is what percent of 10000.7

100%/x%=10000.7/10.01
(100/x)*x=(10000.7/10.01)*x       - we multiply both sides of the equation by x
100=999.07092907093*x       - we divide both sides of the equation by (999.07092907093) to get x
100/999.07092907093=x
0.10009299349046=x
x=0.10009299349046

now we have:
10.01 is 0.10009299349046% of 10000.7