10.52 is what percent of 700.97 - 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 700.97 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 700.97, so we can write it down as 100%=700.97.
4. We know, that x% equals 10.52 of the output value, so we can write it down as x%=10.52.
5. Now we have two simple equations:
1) 100%=700.97
2) x%=10.52
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%=700.97/10.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.52 is what percent of 700.97

100%/x%=700.97/10.52
(100/x)*x=(700.97/10.52)*x       - we multiply both sides of the equation by x
100=66.632129277567*x       - we divide both sides of the equation by (66.632129277567) to get x
100/66.632129277567=x
1.500777494044=x
x=1.500777494044

now we have:
10.52 is 1.500777494044% of 700.97