1052.7 is what percent of 1000.26 - 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 1000.26 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 1000.26, so we can write it down as 100%=1000.26.
4. We know, that x% equals 1052.7 of the output value, so we can write it down as x%=1052.7.
5. Now we have two simple equations:
1) 100%=1000.26
2) x%=1052.7
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%=1000.26/1052.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1052.7 is what percent of 1000.26

100%/x%=1000.26/1052.7
(100/x)*x=(1000.26/1052.7)*x       - we multiply both sides of the equation by x
100=0.95018523795953*x       - we divide both sides of the equation by (0.95018523795953) to get x
100/0.95018523795953=x
105.2426369144=x
x=105.2426369144

now we have:
1052.7 is 105.2426369144% of 1000.26