835.05 is what percent of 1500 - 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 1500 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 1500, so we can write it down as 100%=1500.
4. We know, that x% equals 835.05 of the output value, so we can write it down as x%=835.05.
5. Now we have two simple equations:
1) 100%=1500
2) x%=835.05
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%=1500/835.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 835.05 is what percent of 1500

100%/x%=1500/835.05
(100/x)*x=(1500/835.05)*x       - we multiply both sides of the equation by x
100=1.7962996227771*x       - we divide both sides of the equation by (1.7962996227771) to get x
100/1.7962996227771=x
55.67=x
x=55.67

now we have:
835.05 is 55.67% of 1500