976.86 is what percent of 502.5 - 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 502.5 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 502.5, so we can write it down as 100%=502.5.
4. We know, that x% equals 976.86 of the output value, so we can write it down as x%=976.86.
5. Now we have two simple equations:
1) 100%=502.5
2) x%=976.86
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%=502.5/976.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 976.86 is what percent of 502.5

100%/x%=502.5/976.86
(100/x)*x=(502.5/976.86)*x       - we multiply both sides of the equation by x
100=0.51440329218107*x       - we divide both sides of the equation by (0.51440329218107) to get x
100/0.51440329218107=x
194.4=x
x=194.4

now we have:
976.86 is 194.4% of 502.5