51.04 is what percent of 87.091 - 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 87.091 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 87.091, so we can write it down as 100%=87.091.
4. We know, that x% equals 51.04 of the output value, so we can write it down as x%=51.04.
5. Now we have two simple equations:
1) 100%=87.091
2) x%=51.04
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%=87.091/51.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.04 is what percent of 87.091

100%/x%=87.091/51.04
(100/x)*x=(87.091/51.04)*x       - we multiply both sides of the equation by x
100=1.706328369906*x       - we divide both sides of the equation by (1.706328369906) to get x
100/1.706328369906=x
58.605366800243=x
x=58.605366800243

now we have:
51.04 is 58.605366800243% of 87.091